Split (1)

train · 500k rows

nums listlengths 4 4	target int64 10 100	solution listlengths 3 3	optimal_path stringlengths 282 529	start_size int64 4 4	search_path stringlengths 505 16.8k	rating float64 0 0.99	search_type stringclasses 5 values	heuristic stringclasses 2 values
[ 31, 7, 48, 12 ]	35	[ "48-31=17", "17-12=5", "7*5=35" ]	Current State: 35:[31, 7, 48, 12], Operations: [] Exploring Operation: 48-31=17, Resulting Numbers: [7, 12, 17] Generated Node #2: [7, 12, 17] from Operation: 48-31=17 Current State: 35:[7, 12, 17], Operations: ['48-31=17'] Exploring Operation: 17-12=5, Resulting Numbers: [7, 5] Generated Node #3: [7, 5] from Operation: 17-12=5 Current State: 35:[7, 5], Operations: ['48-31=17', '17-12=5'] Exploring Operation: 7*5=35, Resulting Numbers: [35] 35,35 equal: Goal Reached	4	Current State: 35:[31, 7, 48, 12], Operations: [] Exploring Operation: 48/12=4, Resulting Numbers: [31, 7, 4] Generated Node #0,0: 35:[31, 7, 4] Operation: 48/12=4 Exploring Operation: 48-12=36, Resulting Numbers: [31, 7, 36] Generated Node #0,1: 35:[31, 7, 36] Operation: 48-12=36 Exploring Operation: 12-7=5, Resulting Numbers: [31, 48, 5] Generated Node #0,2: 35:[31, 48, 5] Operation: 12-7=5 Exploring Operation: 48-31=17, Resulting Numbers: [7, 12, 17] Generated Node #0,3: 35:[7, 12, 17] Operation: 48-31=17 Exploring Operation: 48-7=41, Resulting Numbers: [31, 12, 41] Generated Node #0,4: 35:[31, 12, 41] Operation: 48-7=41 Moving to Node #0,0 Current State: 35:[31, 7, 4], Operations: ['48/12=4'] Exploring Operation: 7-4=3, Resulting Numbers: [31, 3] Generated Node #0,0,0: 35:[31, 3] Operation: 7-4=3 Exploring Operation: 31-4=27, Resulting Numbers: [7, 27] Generated Node #0,0,1: 35:[7, 27] Operation: 31-4=27 Exploring Operation: 31+7=38, Resulting Numbers: [4, 38] Generated Node #0,0,2: 35:[4, 38] Operation: 31+7=38 Exploring Operation: 31+4=35, Resulting Numbers: [7, 35] Generated Node #0,0,3: 35:[7, 35] Operation: 31+4=35 Exploring Operation: 7+4=11, Resulting Numbers: [31, 11] Generated Node #0,0,4: 35:[31, 11] Operation: 7+4=11 Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 35:[7, 35], Operations: ['48/12=4', '31+4=35'] Exploring Operation: 7+35=42, Resulting Numbers: [42] 42,35 unequal: No Solution Exploring Operation: 35/7=5, Resulting Numbers: [5] 5,35 unequal: No Solution Exploring Operation: 35-7=28, Resulting Numbers: [28] 28,35 unequal: No Solution Exploring Operation: 735=245, Resulting Numbers: [245] 245,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 35:[4, 38], Operations: ['48/12=4', '31+7=38'] Exploring Operation: 4+38=42, Resulting Numbers: [42] 42,35 unequal: No Solution Exploring Operation: 438=152, Resulting Numbers: [152] 152,35 unequal: No Solution Exploring Operation: 38-4=34, Resulting Numbers: [34] 34,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 35:[31, 3], Operations: ['48/12=4', '7-4=3'] Exploring Operation: 313=93, Resulting Numbers: [93] 93,35 unequal: No Solution Exploring Operation: 31-3=28, Resulting Numbers: [28] 28,35 unequal: No Solution Exploring Operation: 31+3=34, Resulting Numbers: [34] 34,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 35:[7, 27], Operations: ['48/12=4', '31-4=27'] Exploring Operation: 27-7=20, Resulting Numbers: [20] 20,35 unequal: No Solution Exploring Operation: 7+27=34, Resulting Numbers: [34] 34,35 unequal: No Solution Exploring Operation: 727=189, Resulting Numbers: [189] 189,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 35:[31, 11], Operations: ['48/12=4', '7+4=11'] Exploring Operation: 3111=341, Resulting Numbers: [341] 341,35 unequal: No Solution Exploring Operation: 31+11=42, Resulting Numbers: [42] 42,35 unequal: No Solution Exploring Operation: 31-11=20, Resulting Numbers: [20] 20,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 35:[31, 7, 36], Operations: ['48-12=36'] Exploring Operation: 31+7=38, Resulting Numbers: [36, 38] Generated Node #0,1,0: 35:[36, 38] Operation: 31+7=38 Exploring Operation: 31-7=24, Resulting Numbers: [36, 24] Generated Node #0,1,1: 35:[36, 24] Operation: 31-7=24 Exploring Operation: 7+36=43, Resulting Numbers: [31, 43] Generated Node #0,1,2: 35:[31, 43] Operation: 7+36=43 Exploring Operation: 36-7=29, Resulting Numbers: [31, 29] Generated Node #0,1,3: 35:[31, 29] Operation: 36-7=29 Exploring Operation: 36-31=5, Resulting Numbers: [7, 5] Generated Node #0,1,4: 35:[7, 5] Operation: 36-31=5 Moving to Node #0,3 Current State: 35:[7, 12, 17], Operations: ['48-31=17'] Exploring Operation: 17-7=10, Resulting Numbers: [12, 10] Generated Node #0,3,0: 35:[12, 10] Operation: 17-7=10 Exploring Operation: 12+17=29, Resulting Numbers: [7, 29] Generated Node #0,3,1: 35:[7, 29] Operation: 12+17=29 Exploring Operation: 7+17=24, Resulting Numbers: [12, 24] Generated Node #0,3,2: 35:[12, 24] Operation: 7+17=24 Exploring Operation: 17-12=5, Resulting Numbers: [7, 5] Generated Node #0,3,3: 35:[7, 5] Operation: 17-12=5 Exploring Operation: 12-7=5, Resulting Numbers: [17, 5] Generated Node #0,3,4: 35:[17, 5] Operation: 12-7=5 Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 35:[7, 5], Operations: ['48-31=17', '17-12=5'] Exploring Operation: 75=35, Resulting Numbers: [35] 35,35 equal: Goal Reached Moving to Node #0 Current State: 35:[31, 7, 48, 12], Operations: [] Exploring Operation: 48-31=17, Resulting Numbers: [7, 12, 17] Generated Node #0,3: 35:[7, 12, 17] Operation: 48-31=17 Moving to Node #0,3 Current State: 35:[7, 12, 17], Operations: ['48-31=17'] Exploring Operation: 17-12=5, Resulting Numbers: [7, 5] Generated Node #0,3,3: 35:[7, 5] Operation: 17-12=5 Moving to Node #0,3,3 Current State: 35:[7, 5], Operations: ['48-31=17', '17-12=5'] Exploring Operation: 7*5=35, Resulting Numbers: [35] 35,35 equal: Goal Reached Exit Sub Search at level 1	0.96441	hs_5	mult_heuristic
[ 72, 63, 63, 36 ]	35	[ "72-36=36", "63/63=1", "36-1=35" ]	Current State: 35:[72, 63, 63, 36], Operations: [] Exploring Operation: 72-36=36, Resulting Numbers: [63, 63, 36] Generated Node #2: [63, 63, 36] from Operation: 72-36=36 Current State: 35:[63, 63, 36], Operations: ['72-36=36'] Exploring Operation: 63/63=1, Resulting Numbers: [36, 1] Generated Node #3: [36, 1] from Operation: 63/63=1 Current State: 35:[36, 1], Operations: ['72-36=36', '63/63=1'] Exploring Operation: 36-1=35, Resulting Numbers: [35] 35,35 equal: Goal Reached	4	Current State: 35:[72, 63, 63, 36], Operations: [] Exploring Operation: 72-36=36, Resulting Numbers: [63, 63, 36] Generated Node #0,0: 35:[63, 63, 36] Operation: 72-36=36 Exploring Operation: 72-63=9, Resulting Numbers: [63, 36, 9] Generated Node #0,1: 35:[63, 36, 9] Operation: 72-63=9 Exploring Operation: 72-63=9, Resulting Numbers: [63, 36, 9] Generated Node #0,2: 35:[63, 36, 9] Operation: 72-63=9 Exploring Operation: 63/63=1, Resulting Numbers: [72, 36, 1] Generated Node #0,3: 35:[72, 36, 1] Operation: 63/63=1 Exploring Operation: 63-63=0, Resulting Numbers: [72, 36, 0] Generated Node #0,4: 35:[72, 36, 0] Operation: 63-63=0 Start Sub Search at level 1: Moving to Node #0,1 Current State: 35:[63, 36, 9], Operations: ['72-63=9'] Exploring Operation: 36/9=4, Resulting Numbers: [63, 4] Generated Node #0,1,0: 35:[63, 4] Operation: 36/9=4 Exploring Operation: 36-9=27, Resulting Numbers: [63, 27] Generated Node #0,1,1: 35:[63, 27] Operation: 36-9=27 Exploring Operation: 63-36=27, Resulting Numbers: [9, 27] Generated Node #0,1,2: 35:[9, 27] Operation: 63-36=27 Exploring Operation: 63/9=7, Resulting Numbers: [36, 7] Generated Node #0,1,3: 35:[36, 7] Operation: 63/9=7 Exploring Operation: 63-9=54, Resulting Numbers: [36, 54] Generated Node #0,1,4: 35:[36, 54] Operation: 63-9=54 Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 35:[36, 7], Operations: ['72-63=9', '63/9=7'] Exploring Operation: 36-7=29, Resulting Numbers: [29] 29,35 unequal: No Solution Exploring Operation: 367=252, Resulting Numbers: [252] 252,35 unequal: No Solution Exploring Operation: 36+7=43, Resulting Numbers: [43] 43,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 35:[9, 27], Operations: ['72-63=9', '63-36=27'] Exploring Operation: 9+27=36, Resulting Numbers: [36] 36,35 unequal: No Solution Exploring Operation: 927=243, Resulting Numbers: [243] 243,35 unequal: No Solution Exploring Operation: 27/9=3, Resulting Numbers: [3] 3,35 unequal: No Solution Exploring Operation: 27-9=18, Resulting Numbers: [18] 18,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,4 Current State: 35:[36, 54], Operations: ['72-63=9', '63-9=54'] Exploring Operation: 36+54=90, Resulting Numbers: [90] 90,35 unequal: No Solution Exploring Operation: 54-36=18, Resulting Numbers: [18] 18,35 unequal: No Solution Exploring Operation: 3654=1944, Resulting Numbers: [1944] 1944,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 35:[63, 4], Operations: ['72-63=9', '36/9=4'] Exploring Operation: 63-4=59, Resulting Numbers: [59] 59,35 unequal: No Solution Exploring Operation: 63+4=67, Resulting Numbers: [67] 67,35 unequal: No Solution Exploring Operation: 634=252, Resulting Numbers: [252] 252,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 35:[63, 27], Operations: ['72-63=9', '36-9=27'] Exploring Operation: 63-27=36, Resulting Numbers: [36] 36,35 unequal: No Solution Exploring Operation: 63+27=90, Resulting Numbers: [90] 90,35 unequal: No Solution Exploring Operation: 6327=1701, Resulting Numbers: [1701] 1701,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 35:[63, 36, 9], Operations: ['72-63=9'] Exploring Operation: 36/9=4, Resulting Numbers: [63, 4] Generated Node #0,2,0: 35:[63, 4] Operation: 36/9=4 Exploring Operation: 63/9=7, Resulting Numbers: [36, 7] Generated Node #0,2,1: 35:[36, 7] Operation: 63/9=7 Exploring Operation: 36-9=27, Resulting Numbers: [63, 27] Generated Node #0,2,2: 35:[63, 27] Operation: 36-9=27 Exploring Operation: 63-36=27, Resulting Numbers: [9, 27] Generated Node #0,2,3: 35:[9, 27] Operation: 63-36=27 Exploring Operation: 63-9=54, Resulting Numbers: [36, 54] Generated Node #0,2,4: 35:[36, 54] Operation: 63-9=54 Moving to Node #0,2,1 Current State: 35:[36, 7], Operations: ['72-63=9', '63/9=7'] Exploring Operation: 36+7=43, Resulting Numbers: [43] 43,35 unequal: No Solution Exploring Operation: 36-7=29, Resulting Numbers: [29] 29,35 unequal: No Solution Exploring Operation: 367=252, Resulting Numbers: [252] 252,35 unequal: No Solution Moving to Node #0,2,3 Current State: 35:[9, 27], Operations: ['72-63=9', '63-36=27'] Exploring Operation: 27/9=3, Resulting Numbers: [3] 3,35 unequal: No Solution Exploring Operation: 927=243, Resulting Numbers: [243] 243,35 unequal: No Solution Exploring Operation: 9+27=36, Resulting Numbers: [36] 36,35 unequal: No Solution Exploring Operation: 27-9=18, Resulting Numbers: [18] 18,35 unequal: No Solution Moving to Node #0,2,4 Current State: 35:[36, 54], Operations: ['72-63=9', '63-9=54'] Exploring Operation: 3654=1944, Resulting Numbers: [1944] 1944,35 unequal: No Solution Exploring Operation: 54-36=18, Resulting Numbers: [18] 18,35 unequal: No Solution Exploring Operation: 36+54=90, Resulting Numbers: [90] 90,35 unequal: No Solution Moving to Node #0,2,0 Current State: 35:[63, 4], Operations: ['72-63=9', '36/9=4'] Exploring Operation: 634=252, Resulting Numbers: [252] 252,35 unequal: No Solution Exploring Operation: 63+4=67, Resulting Numbers: [67] 67,35 unequal: No Solution Exploring Operation: 63-4=59, Resulting Numbers: [59] 59,35 unequal: No Solution Moving to Node #0,2,2 Current State: 35:[63, 27], Operations: ['72-63=9', '36-9=27'] Exploring Operation: 63+27=90, Resulting Numbers: [90] 90,35 unequal: No Solution Exploring Operation: 63-27=36, Resulting Numbers: [36] 36,35 unequal: No Solution Exploring Operation: 6327=1701, Resulting Numbers: [1701] 1701,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 35:[72, 36, 1], Operations: ['63/63=1'] Exploring Operation: 721=72, Resulting Numbers: [36, 72] Generated Node #0,3,0: 35:[36, 72] Operation: 721=72 Exploring Operation: 72-1=71, Resulting Numbers: [36, 71] Generated Node #0,3,1: 35:[36, 71] Operation: 72-1=71 Exploring Operation: 72-36=36, Resulting Numbers: [1, 36] Generated Node #0,3,2: 35:[1, 36] Operation: 72-36=36 Exploring Operation: 72/36=2, Resulting Numbers: [1, 2] Generated Node #0,3,3: 35:[1, 2] Operation: 72/36=2 Exploring Operation: 36-1=35, Resulting Numbers: [72, 35] Generated Node #0,3,4: 35:[72, 35] Operation: 36-1=35 Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 35:[1, 36], Operations: ['63/63=1', '72-36=36'] Exploring Operation: 1*36=36, Resulting Numbers: [36] 36,35 unequal: No Solution Exploring Operation: 36/1=36, Resulting Numbers: [36] 36,35 unequal: No Solution Exploring Operation: 1+36=37, Resulting Numbers: [37] 37,35 unequal: No Solution Exploring Operation: 36-1=35, Resulting Numbers: [35] 35,35 equal: Goal Reached Moving to Node #0 Current State: 35:[72, 63, 63, 36], Operations: [] Exploring Operation: 63/63=1, Resulting Numbers: [72, 36, 1] Generated Node #0,3: 35:[72, 36, 1] Operation: 63/63=1 Moving to Node #0,3 Current State: 35:[72, 36, 1], Operations: ['63/63=1'] Exploring Operation: 72-36=36, Resulting Numbers: [1, 36] Generated Node #0,3,2: 35:[1, 36] Operation: 72-36=36 Moving to Node #0,3,2 Current State: 35:[1, 36], Operations: ['63/63=1', '72-36=36'] Exploring Operation: 36-1=35, Resulting Numbers: [35] 35,35 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.947917	hs_5	mult_heuristic
[ 33, 18, 86, 3 ]	43	[ "33+3=36", "18*86=1548", "1548/36=43" ]	Current State: 43:[33, 18, 86, 3], Operations: [] Exploring Operation: 33+3=36, Resulting Numbers: [18, 86, 36] Generated Node #2: [18, 86, 36] from Operation: 33+3=36 Current State: 43:[18, 86, 36], Operations: ['33+3=36'] Exploring Operation: 1886=1548, Resulting Numbers: [36, 1548] Generated Node #3: [36, 1548] from Operation: 1886=1548 Current State: 43:[36, 1548], Operations: ['33+3=36', '18*86=1548'] Exploring Operation: 1548/36=43, Resulting Numbers: [43] 43,43 equal: Goal Reached	4	Current State: 43:[33, 18, 86, 3], Operations: [] Exploring Operation: 183=54, Resulting Numbers: [33, 86, 54] Generated Node #0,0: 43:[33, 86, 54] Operation: 183=54 Moving to Node #0,0 Current State: 43:[33, 86, 54], Operations: ['183=54'] Exploring Operation: 86-33=53, Resulting Numbers: [54, 53] Generated Node #0,0,0: 43:[54, 53] Operation: 86-33=53 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 43:[54, 53], Operations: ['183=54', '86-33=53'] Exploring Operation: 54-53=1, Resulting Numbers: [1] 1,43 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	mult_heuristic
[ 89, 78, 83, 71 ]	90	[ "89-71=18", "83-78=5", "18*5=90" ]	Current State: 90:[89, 78, 83, 71], Operations: [] Exploring Operation: 89-71=18, Resulting Numbers: [78, 83, 18] Generated Node #2: [78, 83, 18] from Operation: 89-71=18 Current State: 90:[78, 83, 18], Operations: ['89-71=18'] Exploring Operation: 83-78=5, Resulting Numbers: [18, 5] Generated Node #3: [18, 5] from Operation: 83-78=5 Current State: 90:[18, 5], Operations: ['89-71=18', '83-78=5'] Exploring Operation: 18*5=90, Resulting Numbers: [90] 90,90 equal: Goal Reached	4	Current State: 90:[89, 78, 83, 71], Operations: [] Exploring Operation: 78-71=7, Resulting Numbers: [89, 83, 7] Generated Node #0,0: 90:[89, 83, 7] Operation: 78-71=7 Exploring Operation: 83-78=5, Resulting Numbers: [89, 71, 5] Generated Node #0,1: 90:[89, 71, 5] Operation: 83-78=5 Exploring Operation: 89-71=18, Resulting Numbers: [78, 83, 18] Generated Node #0,2: 90:[78, 83, 18] Operation: 89-71=18 Exploring Operation: 83-71=12, Resulting Numbers: [89, 78, 12] Generated Node #0,3: 90:[89, 78, 12] Operation: 83-71=12 Exploring Operation: 89-78=11, Resulting Numbers: [83, 71, 11] Generated Node #0,4: 90:[83, 71, 11] Operation: 89-78=11 Start Sub Search at level 1: Moving to Node #0,0 Current State: 90:[89, 83, 7], Operations: ['78-71=7'] Exploring Operation: 89+7=96, Resulting Numbers: [83, 96] Generated Node #0,0,0: 90:[83, 96] Operation: 89+7=96 Exploring Operation: 89-83=6, Resulting Numbers: [7, 6] Generated Node #0,0,1: 90:[7, 6] Operation: 89-83=6 Exploring Operation: 89-7=82, Resulting Numbers: [83, 82] Generated Node #0,0,2: 90:[83, 82] Operation: 89-7=82 Exploring Operation: 83-7=76, Resulting Numbers: [89, 76] Generated Node #0,0,3: 90:[89, 76] Operation: 83-7=76 Exploring Operation: 83+7=90, Resulting Numbers: [89, 90] Generated Node #0,0,4: 90:[89, 90] Operation: 83+7=90 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 90:[7, 6], Operations: ['78-71=7', '89-83=6'] Exploring Operation: 7+6=13, Resulting Numbers: [13] 13,90 unequal: No Solution Exploring Operation: 7-6=1, Resulting Numbers: [1] 1,90 unequal: No Solution Exploring Operation: 76=42, Resulting Numbers: [42] 42,90 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,4 Current State: 90:[89, 90], Operations: ['78-71=7', '83+7=90'] Exploring Operation: 8990=8010, Resulting Numbers: [8010] 8010,90 unequal: No Solution Exploring Operation: 89+90=179, Resulting Numbers: [179] 179,90 unequal: No Solution Exploring Operation: 90-89=1, Resulting Numbers: [1] 1,90 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 90:[83, 96], Operations: ['78-71=7', '89+7=96'] Exploring Operation: 8396=7968, Resulting Numbers: [7968] 7968,90 unequal: No Solution Exploring Operation: 96-83=13, Resulting Numbers: [13] 13,90 unequal: No Solution Exploring Operation: 83+96=179, Resulting Numbers: [179] 179,90 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 90:[83, 82], Operations: ['78-71=7', '89-7=82'] Exploring Operation: 83-82=1, Resulting Numbers: [1] 1,90 unequal: No Solution Exploring Operation: 83+82=165, Resulting Numbers: [165] 165,90 unequal: No Solution Exploring Operation: 8382=6806, Resulting Numbers: [6806] 6806,90 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 90:[89, 76], Operations: ['78-71=7', '83-7=76'] Exploring Operation: 89+76=165, Resulting Numbers: [165] 165,90 unequal: No Solution Exploring Operation: 8976=6764, Resulting Numbers: [6764] 6764,90 unequal: No Solution Exploring Operation: 89-76=13, Resulting Numbers: [13] 13,90 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 90:[89, 78, 12], Operations: ['83-71=12'] Exploring Operation: 89-12=77, Resulting Numbers: [78, 77] Generated Node #0,3,0: 90:[78, 77] Operation: 89-12=77 Exploring Operation: 89+12=101, Resulting Numbers: [78, 101] Generated Node #0,3,1: 90:[78, 101] Operation: 89+12=101 Exploring Operation: 78-12=66, Resulting Numbers: [89, 66] Generated Node #0,3,2: 90:[89, 66] Operation: 78-12=66 Exploring Operation: 78+12=90, Resulting Numbers: [89, 90] Generated Node #0,3,3: 90:[89, 90] Operation: 78+12=90 Exploring Operation: 89-78=11, Resulting Numbers: [12, 11] Generated Node #0,3,4: 90:[12, 11] Operation: 89-78=11 Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 90:[89, 90], Operations: ['83-71=12', '78+12=90'] Exploring Operation: 89+90=179, Resulting Numbers: [179] 179,90 unequal: No Solution Exploring Operation: 90-89=1, Resulting Numbers: [1] 1,90 unequal: No Solution Exploring Operation: 8990=8010, Resulting Numbers: [8010] 8010,90 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,4 Current State: 90:[12, 11], Operations: ['83-71=12', '89-78=11'] Exploring Operation: 12-11=1, Resulting Numbers: [1] 1,90 unequal: No Solution Exploring Operation: 1211=132, Resulting Numbers: [132] 132,90 unequal: No Solution Exploring Operation: 12+11=23, Resulting Numbers: [23] 23,90 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 90:[89, 66], Operations: ['83-71=12', '78-12=66'] Exploring Operation: 8966=5874, Resulting Numbers: [5874] 5874,90 unequal: No Solution Exploring Operation: 89+66=155, Resulting Numbers: [155] 155,90 unequal: No Solution Exploring Operation: 89-66=23, Resulting Numbers: [23] 23,90 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 90:[78, 101], Operations: ['83-71=12', '89+12=101'] Exploring Operation: 101-78=23, Resulting Numbers: [23] 23,90 unequal: No Solution Exploring Operation: 78+101=179, Resulting Numbers: [179] 179,90 unequal: No Solution Exploring Operation: 78101=7878, Resulting Numbers: [7878] 7878,90 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 90:[78, 77], Operations: ['83-71=12', '89-12=77'] Exploring Operation: 7877=6006, Resulting Numbers: [6006] 6006,90 unequal: No Solution Exploring Operation: 78-77=1, Resulting Numbers: [1] 1,90 unequal: No Solution Exploring Operation: 78+77=155, Resulting Numbers: [155] 155,90 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 90:[78, 83, 18], Operations: ['89-71=18'] Exploring Operation: 78+18=96, Resulting Numbers: [83, 96] Generated Node #0,2,0: 90:[83, 96] Operation: 78+18=96 Exploring Operation: 83-78=5, Resulting Numbers: [18, 5] Generated Node #0,2,1: 90:[18, 5] Operation: 83-78=5 Exploring Operation: 78-18=60, Resulting Numbers: [83, 60] Generated Node #0,2,2: 90:[83, 60] Operation: 78-18=60 Exploring Operation: 83-18=65, Resulting Numbers: [78, 65] Generated Node #0,2,3: 90:[78, 65] Operation: 83-18=65 Exploring Operation: 83+18=101, Resulting Numbers: [78, 101] Generated Node #0,2,4: 90:[78, 101] Operation: 83+18=101 Moving to Node #0,2,1 Current State: 90:[18, 5], Operations: ['89-71=18', '83-78=5'] Exploring Operation: 185=90, Resulting Numbers: [90] 90,90 equal: Goal Reached Moving to Node #0 Current State: 90:[89, 78, 83, 71], Operations: [] Exploring Operation: 89-71=18, Resulting Numbers: [78, 83, 18] Generated Node #0,2: 90:[78, 83, 18] Operation: 89-71=18 Moving to Node #0,2 Current State: 90:[78, 83, 18], Operations: ['89-71=18'] Exploring Operation: 83-78=5, Resulting Numbers: [18, 5] Generated Node #0,2,1: 90:[18, 5] Operation: 83-78=5 Moving to Node #0,2,1 Current State: 90:[18, 5], Operations: ['89-71=18', '83-78=5'] Exploring Operation: 185=90, Resulting Numbers: [90] 90,90 equal: Goal Reached Exit Sub Search at level 1	0.952257	hs_5	sum_heuristic
[ 42, 54, 6, 40 ]	56	[ "42+54=96", "96/6=16", "40+16=56" ]	Current State: 56:[42, 54, 6, 40], Operations: [] Exploring Operation: 42+54=96, Resulting Numbers: [6, 40, 96] Generated Node #2: [6, 40, 96] from Operation: 42+54=96 Current State: 56:[6, 40, 96], Operations: ['42+54=96'] Exploring Operation: 96/6=16, Resulting Numbers: [40, 16] Generated Node #3: [40, 16] from Operation: 96/6=16 Current State: 56:[40, 16], Operations: ['42+54=96', '96/6=16'] Exploring Operation: 40+16=56, Resulting Numbers: [56] 56,56 equal: Goal Reached	4	Current State: 56:[42, 54, 6, 40], Operations: [] Exploring Operation: 54-42=12, Resulting Numbers: [6, 40, 12] Generated Node #0,0: 56:[6, 40, 12] Operation: 54-42=12 Exploring Operation: 42/6=7, Resulting Numbers: [54, 40, 7] Generated Node #0,1: 56:[54, 40, 7] Operation: 42/6=7 Exploring Operation: 42-40=2, Resulting Numbers: [54, 6, 2] Generated Node #0,2: 56:[54, 6, 2] Operation: 42-40=2 Start Sub Search at level 1: Moving to Node #0,2 Current State: 56:[54, 6, 2], Operations: ['42-40=2'] Exploring Operation: 54/6=9, Resulting Numbers: [2, 9] Generated Node #0,2,0: 56:[2, 9] Operation: 54/6=9 Exploring Operation: 54+2=56, Resulting Numbers: [6, 56] Generated Node #0,2,1: 56:[6, 56] Operation: 54+2=56 Exploring Operation: 54/2=27, Resulting Numbers: [6, 27] Generated Node #0,2,2: 56:[6, 27] Operation: 54/2=27 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 56:[2, 9], Operations: ['42-40=2', '54/6=9'] Exploring Operation: 29=18, Resulting Numbers: [18] 18,56 unequal: No Solution Exploring Operation: 9-2=7, Resulting Numbers: [7] 7,56 unequal: No Solution Exploring Operation: 2+9=11, Resulting Numbers: [11] 11,56 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 56:[6, 56], Operations: ['42-40=2', '54+2=56'] Exploring Operation: 56-6=50, Resulting Numbers: [50] 50,56 unequal: No Solution Exploring Operation: 6+56=62, Resulting Numbers: [62] 62,56 unequal: No Solution Exploring Operation: 656=336, Resulting Numbers: [336] 336,56 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 56:[6, 27], Operations: ['42-40=2', '54/2=27'] Exploring Operation: 627=162, Resulting Numbers: [162] 162,56 unequal: No Solution Exploring Operation: 6+27=33, Resulting Numbers: [33] 33,56 unequal: No Solution Exploring Operation: 27-6=21, Resulting Numbers: [21] 21,56 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 56:[54, 40, 7], Operations: ['42/6=7'] Exploring Operation: 40+7=47, Resulting Numbers: [54, 47] Generated Node #0,1,0: 56:[54, 47] Operation: 40+7=47 Exploring Operation: 40-7=33, Resulting Numbers: [54, 33] Generated Node #0,1,1: 56:[54, 33] Operation: 40-7=33 Exploring Operation: 54-40=14, Resulting Numbers: [7, 14] Generated Node #0,1,2: 56:[7, 14] Operation: 54-40=14 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 56:[7, 14], Operations: ['42/6=7', '54-40=14'] Exploring Operation: 14/7=2, Resulting Numbers: [2] 2,56 unequal: No Solution Exploring Operation: 7+14=21, Resulting Numbers: [21] 21,56 unequal: No Solution Exploring Operation: 14-7=7, Resulting Numbers: [7] 7,56 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 56:[54, 33], Operations: ['42/6=7', '40-7=33'] Exploring Operation: 5433=1782, Resulting Numbers: [1782] 1782,56 unequal: No Solution Exploring Operation: 54+33=87, Resulting Numbers: [87] 87,56 unequal: No Solution Exploring Operation: 54-33=21, Resulting Numbers: [21] 21,56 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 56:[54, 47], Operations: ['42/6=7', '40+7=47'] Exploring Operation: 54-47=7, Resulting Numbers: [7] 7,56 unequal: No Solution Exploring Operation: 54+47=101, Resulting Numbers: [101] 101,56 unequal: No Solution Exploring Operation: 5447=2538, Resulting Numbers: [2538] 2538,56 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 56:[6, 40, 12], Operations: ['54-42=12'] Exploring Operation: 40+12=52, Resulting Numbers: [6, 52] Generated Node #0,0,0: 56:[6, 52] Operation: 40+12=52 Exploring Operation: 40-12=28, Resulting Numbers: [6, 28] Generated Node #0,0,1: 56:[6, 28] Operation: 40-12=28 Exploring Operation: 40-6=34, Resulting Numbers: [12, 34] Generated Node #0,0,2: 56:[12, 34] Operation: 40-6=34 Moving to Node #0,0,1 Current State: 56:[6, 28], Operations: ['54-42=12', '40-12=28'] Exploring Operation: 6+28=34, Resulting Numbers: [34] 34,56 unequal: No Solution Exploring Operation: 28-6=22, Resulting Numbers: [22] 22,56 unequal: No Solution Exploring Operation: 628=168, Resulting Numbers: [168] 168,56 unequal: No Solution Moving to Node #0,0,0 Current State: 56:[6, 52], Operations: ['54-42=12', '40+12=52'] Exploring Operation: 52-6=46, Resulting Numbers: [46] 46,56 unequal: No Solution Exploring Operation: 652=312, Resulting Numbers: [312] 312,56 unequal: No Solution Exploring Operation: 6+52=58, Resulting Numbers: [58] 58,56 unequal: No Solution Moving to Node #0,0,2 Current State: 56:[12, 34], Operations: ['54-42=12', '40-6=34'] Exploring Operation: 12+34=46, Resulting Numbers: [46] 46,56 unequal: No Solution Exploring Operation: 1234=408, Resulting Numbers: [408] 408,56 unequal: No Solution Exploring Operation: 34-12=22, Resulting Numbers: [22] 22,56 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_3	sum_heuristic
[ 10, 86, 96, 84 ]	79	[ "86+84=170", "170/10=17", "96-17=79" ]	Current State: 79:[10, 86, 96, 84], Operations: [] Exploring Operation: 86+84=170, Resulting Numbers: [10, 96, 170] Generated Node #2: [10, 96, 170] from Operation: 86+84=170 Current State: 79:[10, 96, 170], Operations: ['86+84=170'] Exploring Operation: 170/10=17, Resulting Numbers: [96, 17] Generated Node #3: [96, 17] from Operation: 170/10=17 Current State: 79:[96, 17], Operations: ['86+84=170', '170/10=17'] Exploring Operation: 96-17=79, Resulting Numbers: [79] 79,79 equal: Goal Reached	4	Current State: 79:[10, 86, 96, 84], Operations: [] Exploring Operation: 84-10=74, Resulting Numbers: [86, 96, 74] Generated Node #0,0: 79:[86, 96, 74] Operation: 84-10=74 Exploring Operation: 86-10=76, Resulting Numbers: [96, 84, 76] Generated Node #0,1: 79:[96, 84, 76] Operation: 86-10=76 Exploring Operation: 96-10=86, Resulting Numbers: [86, 84, 86] Generated Node #0,2: 79:[86, 84, 86] Operation: 96-10=86 Start Sub Search at level 1: Moving to Node #0,2 Current State: 79:[86, 84, 86], Operations: ['96-10=86'] Exploring Operation: 86/86=1, Resulting Numbers: [84, 1] Generated Node #0,2,0: 79:[84, 1] Operation: 86/86=1 Exploring Operation: 86-84=2, Resulting Numbers: [86, 2] Generated Node #0,2,1: 79:[86, 2] Operation: 86-84=2 Exploring Operation: 86-86=0, Resulting Numbers: [84, 0] Generated Node #0,2,2: 79:[84, 0] Operation: 86-86=0 Moving to Node #0,2,0 Current State: 79:[84, 1], Operations: ['96-10=86', '86/86=1'] Exploring Operation: 841=84, Resulting Numbers: [84] 84,79 unequal: No Solution Exploring Operation: 84-1=83, Resulting Numbers: [83] 83,79 unequal: No Solution Exploring Operation: 84/1=84, Resulting Numbers: [84] 84,79 unequal: No Solution Moving to Node #0,2,1 Current State: 79:[86, 2], Operations: ['96-10=86', '86-84=2'] Exploring Operation: 86+2=88, Resulting Numbers: [88] 88,79 unequal: No Solution Exploring Operation: 86-2=84, Resulting Numbers: [84] 84,79 unequal: No Solution Exploring Operation: 86/2=43, Resulting Numbers: [43] 43,79 unequal: No Solution Moving to Node #0,2,2 Current State: 79:[84, 0], Operations: ['96-10=86', '86-86=0'] Exploring Operation: 840=0, Resulting Numbers: [0] 0,79 unequal: No Solution Exploring Operation: 84-0=84, Resulting Numbers: [84] 84,79 unequal: No Solution Exploring Operation: 84+0=84, Resulting Numbers: [84] 84,79 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 79:[96, 84, 76], Operations: ['86-10=76'] Exploring Operation: 96-76=20, Resulting Numbers: [84, 20] Generated Node #0,1,0: 79:[84, 20] Operation: 96-76=20 Exploring Operation: 96-84=12, Resulting Numbers: [76, 12] Generated Node #0,1,1: 79:[76, 12] Operation: 96-84=12 Exploring Operation: 84-76=8, Resulting Numbers: [96, 8] Generated Node #0,1,2: 79:[96, 8] Operation: 84-76=8 Moving to Node #0,1,0 Current State: 79:[84, 20], Operations: ['86-10=76', '96-76=20'] Exploring Operation: 84-20=64, Resulting Numbers: [64] 64,79 unequal: No Solution Exploring Operation: 8420=1680, Resulting Numbers: [1680] 1680,79 unequal: No Solution Exploring Operation: 84+20=104, Resulting Numbers: [104] 104,79 unequal: No Solution Moving to Node #0,1,1 Current State: 79:[76, 12], Operations: ['86-10=76', '96-84=12'] Exploring Operation: 76+12=88, Resulting Numbers: [88] 88,79 unequal: No Solution Exploring Operation: 7612=912, Resulting Numbers: [912] 912,79 unequal: No Solution Exploring Operation: 76-12=64, Resulting Numbers: [64] 64,79 unequal: No Solution Moving to Node #0,1,2 Current State: 79:[96, 8], Operations: ['86-10=76', '84-76=8'] Exploring Operation: 96/8=12, Resulting Numbers: [12] 12,79 unequal: No Solution Exploring Operation: 96+8=104, Resulting Numbers: [104] 104,79 unequal: No Solution Exploring Operation: 96-8=88, Resulting Numbers: [88] 88,79 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 79:[86, 96, 74], Operations: ['84-10=74'] Exploring Operation: 96-86=10, Resulting Numbers: [74, 10] Generated Node #0,0,0: 79:[74, 10] Operation: 96-86=10 Exploring Operation: 86-74=12, Resulting Numbers: [96, 12] Generated Node #0,0,1: 79:[96, 12] Operation: 86-74=12 Exploring Operation: 96-74=22, Resulting Numbers: [86, 22] Generated Node #0,0,2: 79:[86, 22] Operation: 96-74=22 Moving to Node #0,0,2 Current State: 79:[86, 22], Operations: ['84-10=74', '96-74=22'] Exploring Operation: 86-22=64, Resulting Numbers: [64] 64,79 unequal: No Solution Exploring Operation: 8622=1892, Resulting Numbers: [1892] 1892,79 unequal: No Solution Exploring Operation: 86+22=108, Resulting Numbers: [108] 108,79 unequal: No Solution Moving to Node #0,0,0 Current State: 79:[74, 10], Operations: ['84-10=74', '96-86=10'] Exploring Operation: 7410=740, Resulting Numbers: [740] 740,79 unequal: No Solution Exploring Operation: 74+10=84, Resulting Numbers: [84] 84,79 unequal: No Solution Exploring Operation: 74-10=64, Resulting Numbers: [64] 64,79 unequal: No Solution Moving to Node #0,0,1 Current State: 79:[96, 12], Operations: ['84-10=74', '86-74=12'] Exploring Operation: 96/12=8, Resulting Numbers: [8] 8,79 unequal: No Solution Exploring Operation: 96-12=84, Resulting Numbers: [84] 84,79 unequal: No Solution Exploring Operation: 96+12=108, Resulting Numbers: [108] 108,79 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_3	sum_heuristic
[ 8, 5, 84, 54 ]	14	[ "84-54=30", "30/5=6", "8+6=14" ]	Current State: 14:[8, 5, 84, 54], Operations: [] Exploring Operation: 84-54=30, Resulting Numbers: [8, 5, 30] Generated Node #2: [8, 5, 30] from Operation: 84-54=30 Current State: 14:[8, 5, 30], Operations: ['84-54=30'] Exploring Operation: 30/5=6, Resulting Numbers: [8, 6] Generated Node #3: [8, 6] from Operation: 30/5=6 Current State: 14:[8, 6], Operations: ['84-54=30', '30/5=6'] Exploring Operation: 8+6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached	4	Current State: 14:[8, 5, 84, 54], Operations: [] Exploring Operation: 54-8=46, Resulting Numbers: [5, 84, 46] Generated Node #0,0: 14:[5, 84, 46] Operation: 54-8=46 Exploring Operation: 84-54=30, Resulting Numbers: [8, 5, 30] Generated Node #0,1: 14:[8, 5, 30] Operation: 84-54=30 Exploring Operation: 84-8=76, Resulting Numbers: [5, 54, 76] Generated Node #0,2: 14:[5, 54, 76] Operation: 84-8=76 Start Sub Search at level 1: Moving to Node #0,1 Current State: 14:[8, 5, 30], Operations: ['84-54=30'] Exploring Operation: 30/5=6, Resulting Numbers: [8, 6] Generated Node #0,1,0: 14:[8, 6] Operation: 30/5=6 Exploring Operation: 30-5=25, Resulting Numbers: [8, 25] Generated Node #0,1,1: 14:[8, 25] Operation: 30-5=25 Exploring Operation: 30-8=22, Resulting Numbers: [5, 22] Generated Node #0,1,2: 14:[5, 22] Operation: 30-8=22 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 14:[8, 6], Operations: ['84-54=30', '30/5=6'] Exploring Operation: 8+6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached Moving to Node #0 Current State: 14:[8, 5, 84, 54], Operations: [] Exploring Operation: 84-54=30, Resulting Numbers: [8, 5, 30] Generated Node #0,1: 14:[8, 5, 30] Operation: 84-54=30 Moving to Node #0,1 Current State: 14:[8, 5, 30], Operations: ['84-54=30'] Exploring Operation: 30/5=6, Resulting Numbers: [8, 6] Generated Node #0,1,0: 14:[8, 6] Operation: 30/5=6 Moving to Node #0,1,0 Current State: 14:[8, 6], Operations: ['84-54=30', '30/5=6'] Exploring Operation: 8+6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.990451	hs_3	sum_heuristic
[ 17, 8, 98, 10 ]	35	[ "17+98=115", "8*10=80", "115-80=35" ]	Current State: 35:[17, 8, 98, 10], Operations: [] Exploring Operation: 17+98=115, Resulting Numbers: [8, 10, 115] Generated Node #2: [8, 10, 115] from Operation: 17+98=115 Current State: 35:[8, 10, 115], Operations: ['17+98=115'] Exploring Operation: 810=80, Resulting Numbers: [115, 80] Generated Node #3: [115, 80] from Operation: 810=80 Current State: 35:[115, 80], Operations: ['17+98=115', '8*10=80'] Exploring Operation: 115-80=35, Resulting Numbers: [35] 35,35 equal: Goal Reached	4	Current State: 35:[17, 8, 98, 10], Operations: [] Exploring Operation: 98-17=81, Resulting Numbers: [8, 10, 81] Generated Node #0,0: 35:[8, 10, 81] Operation: 98-17=81 Exploring Operation: 98-10=88, Resulting Numbers: [17, 8, 88] Generated Node #0,1: 35:[17, 8, 88] Operation: 98-10=88 Exploring Operation: 17-8=9, Resulting Numbers: [98, 10, 9] Generated Node #0,2: 35:[98, 10, 9] Operation: 17-8=9 Exploring Operation: 17-10=7, Resulting Numbers: [8, 98, 7] Generated Node #0,3: 35:[8, 98, 7] Operation: 17-10=7 Start Sub Search at level 1: Moving to Node #0,0 Current State: 35:[8, 10, 81], Operations: ['98-17=81'] Exploring Operation: 81-8=73, Resulting Numbers: [10, 73] Generated Node #0,0,0: 35:[10, 73] Operation: 81-8=73 Exploring Operation: 8+10=18, Resulting Numbers: [81, 18] Generated Node #0,0,1: 35:[81, 18] Operation: 8+10=18 Exploring Operation: 81-10=71, Resulting Numbers: [8, 71] Generated Node #0,0,2: 35:[8, 71] Operation: 81-10=71 Exploring Operation: 10-8=2, Resulting Numbers: [81, 2] Generated Node #0,0,3: 35:[81, 2] Operation: 10-8=2 Moving to Node #0,0,2 Current State: 35:[8, 71], Operations: ['98-17=81', '81-10=71'] Exploring Operation: 8+71=79, Resulting Numbers: [79] 79,35 unequal: No Solution Exploring Operation: 871=568, Resulting Numbers: [568] 568,35 unequal: No Solution Exploring Operation: 71-8=63, Resulting Numbers: [63] 63,35 unequal: No Solution Moving to Node #0,0,0 Current State: 35:[10, 73], Operations: ['98-17=81', '81-8=73'] Exploring Operation: 10+73=83, Resulting Numbers: [83] 83,35 unequal: No Solution Exploring Operation: 1073=730, Resulting Numbers: [730] 730,35 unequal: No Solution Exploring Operation: 73-10=63, Resulting Numbers: [63] 63,35 unequal: No Solution Moving to Node #0,0,3 Current State: 35:[81, 2], Operations: ['98-17=81', '10-8=2'] Exploring Operation: 81+2=83, Resulting Numbers: [83] 83,35 unequal: No Solution Exploring Operation: 81-2=79, Resulting Numbers: [79] 79,35 unequal: No Solution Exploring Operation: 812=162, Resulting Numbers: [162] 162,35 unequal: No Solution Moving to Node #0,0,1 Current State: 35:[81, 18], Operations: ['98-17=81', '8+10=18'] Exploring Operation: 81-18=63, Resulting Numbers: [63] 63,35 unequal: No Solution Exploring Operation: 81+18=99, Resulting Numbers: [99] 99,35 unequal: No Solution Exploring Operation: 8118=1458, Resulting Numbers: [1458] 1458,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 35:[17, 8, 88], Operations: ['98-10=88'] Exploring Operation: 17-8=9, Resulting Numbers: [88, 9] Generated Node #0,1,0: 35:[88, 9] Operation: 17-8=9 Exploring Operation: 88-8=80, Resulting Numbers: [17, 80] Generated Node #0,1,1: 35:[17, 80] Operation: 88-8=80 Exploring Operation: 88/8=11, Resulting Numbers: [17, 11] Generated Node #0,1,2: 35:[17, 11] Operation: 88/8=11 Exploring Operation: 88-17=71, Resulting Numbers: [8, 71] Generated Node #0,1,3: 35:[8, 71] Operation: 88-17=71 Moving to Node #0,1,2 Current State: 35:[17, 11], Operations: ['98-10=88', '88/8=11'] Exploring Operation: 1711=187, Resulting Numbers: [187] 187,35 unequal: No Solution Exploring Operation: 17+11=28, Resulting Numbers: [28] 28,35 unequal: No Solution Exploring Operation: 17-11=6, Resulting Numbers: [6] 6,35 unequal: No Solution Moving to Node #0,1,3 Current State: 35:[8, 71], Operations: ['98-10=88', '88-17=71'] Exploring Operation: 71-8=63, Resulting Numbers: [63] 63,35 unequal: No Solution Exploring Operation: 8+71=79, Resulting Numbers: [79] 79,35 unequal: No Solution Exploring Operation: 871=568, Resulting Numbers: [568] 568,35 unequal: No Solution Moving to Node #0,1,1 Current State: 35:[17, 80], Operations: ['98-10=88', '88-8=80'] Exploring Operation: 17+80=97, Resulting Numbers: [97] 97,35 unequal: No Solution Exploring Operation: 80-17=63, Resulting Numbers: [63] 63,35 unequal: No Solution Exploring Operation: 1780=1360, Resulting Numbers: [1360] 1360,35 unequal: No Solution Moving to Node #0,1,0 Current State: 35:[88, 9], Operations: ['98-10=88', '17-8=9'] Exploring Operation: 88+9=97, Resulting Numbers: [97] 97,35 unequal: No Solution Exploring Operation: 889=792, Resulting Numbers: [792] 792,35 unequal: No Solution Exploring Operation: 88-9=79, Resulting Numbers: [79] 79,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 35:[8, 98, 7], Operations: ['17-10=7'] Exploring Operation: 8-7=1, Resulting Numbers: [98, 1] Generated Node #0,3,0: 35:[98, 1] Operation: 8-7=1 Exploring Operation: 98/7=14, Resulting Numbers: [8, 14] Generated Node #0,3,1: 35:[8, 14] Operation: 98/7=14 Exploring Operation: 98-7=91, Resulting Numbers: [8, 91] Generated Node #0,3,2: 35:[8, 91] Operation: 98-7=91 Exploring Operation: 98-8=90, Resulting Numbers: [7, 90] Generated Node #0,3,3: 35:[7, 90] Operation: 98-8=90 Moving to Node #0,3,1 Current State: 35:[8, 14], Operations: ['17-10=7', '98/7=14'] Exploring Operation: 8+14=22, Resulting Numbers: [22] 22,35 unequal: No Solution Exploring Operation: 14-8=6, Resulting Numbers: [6] 6,35 unequal: No Solution Exploring Operation: 814=112, Resulting Numbers: [112] 112,35 unequal: No Solution Moving to Node #0,3,3 Current State: 35:[7, 90], Operations: ['17-10=7', '98-8=90'] Exploring Operation: 790=630, Resulting Numbers: [630] 630,35 unequal: No Solution Exploring Operation: 90-7=83, Resulting Numbers: [83] 83,35 unequal: No Solution Exploring Operation: 7+90=97, Resulting Numbers: [97] 97,35 unequal: No Solution Moving to Node #0,3,2 Current State: 35:[8, 91], Operations: ['17-10=7', '98-7=91'] Exploring Operation: 891=728, Resulting Numbers: [728] 728,35 unequal: No Solution Exploring Operation: 91-8=83, Resulting Numbers: [83] 83,35 unequal: No Solution Exploring Operation: 8+91=99, Resulting Numbers: [99] 99,35 unequal: No Solution Moving to Node #0,3,0 Current State: 35:[98, 1], Operations: ['17-10=7', '8-7=1'] Exploring Operation: 98+1=99, Resulting Numbers: [99] 99,35 unequal: No Solution Exploring Operation: 98/1=98, Resulting Numbers: [98] 98,35 unequal: No Solution Exploring Operation: 98-1=97, Resulting Numbers: [97] 97,35 unequal: No Solution Exploring Operation: 981=98, Resulting Numbers: [98] 98,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 35:[98, 10, 9], Operations: ['17-8=9'] Exploring Operation: 98+10=108, Resulting Numbers: [9, 108] Generated Node #0,2,0: 35:[9, 108] Operation: 98+10=108 Exploring Operation: 10-9=1, Resulting Numbers: [98, 1] Generated Node #0,2,1: 35:[98, 1] Operation: 10-9=1 Exploring Operation: 98-10=88, Resulting Numbers: [9, 88] Generated Node #0,2,2: 35:[9, 88] Operation: 98-10=88 Exploring Operation: 98-9=89, Resulting Numbers: [10, 89] Generated Node #0,2,3: 35:[10, 89] Operation: 98-9=89 Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 35:[9, 88], Operations: ['17-8=9', '98-10=88'] Exploring Operation: 88-9=79, Resulting Numbers: [79] 79,35 unequal: No Solution Exploring Operation: 988=792, Resulting Numbers: [792] 792,35 unequal: No Solution Exploring Operation: 9+88=97, Resulting Numbers: [97] 97,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 35:[10, 89], Operations: ['17-8=9', '98-9=89'] Exploring Operation: 1089=890, Resulting Numbers: [890] 890,35 unequal: No Solution Exploring Operation: 89-10=79, Resulting Numbers: [79] 79,35 unequal: No Solution Exploring Operation: 10+89=99, Resulting Numbers: [99] 99,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 35:[98, 1], Operations: ['17-8=9', '10-9=1'] Exploring Operation: 98/1=98, Resulting Numbers: [98] 98,35 unequal: No Solution Exploring Operation: 981=98, Resulting Numbers: [98] 98,35 unequal: No Solution Exploring Operation: 98+1=99, Resulting Numbers: [99] 99,35 unequal: No Solution Exploring Operation: 98-1=97, Resulting Numbers: [97] 97,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 35:[9, 108], Operations: ['17-8=9', '98+10=108'] Exploring Operation: 9108=972, Resulting Numbers: [972] 972,35 unequal: No Solution Exploring Operation: 9+108=117, Resulting Numbers: [117] 117,35 unequal: No Solution Exploring Operation: 108-9=99, Resulting Numbers: [99] 99,35 unequal: No Solution Exploring Operation: 108/9=12, Resulting Numbers: [12] 12,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_4	sum_heuristic
[ 94, 80, 34, 5 ]	44	[ "94-34=60", "80/5=16", "60-16=44" ]	Current State: 44:[94, 80, 34, 5], Operations: [] Exploring Operation: 94-34=60, Resulting Numbers: [80, 5, 60] Generated Node #2: [80, 5, 60] from Operation: 94-34=60 Current State: 44:[80, 5, 60], Operations: ['94-34=60'] Exploring Operation: 80/5=16, Resulting Numbers: [60, 16] Generated Node #3: [60, 16] from Operation: 80/5=16 Current State: 44:[60, 16], Operations: ['94-34=60', '80/5=16'] Exploring Operation: 60-16=44, Resulting Numbers: [44] 44,44 equal: Goal Reached	4	Current State: 44:[94, 80, 34, 5], Operations: [] Exploring Operation: 94-80=14, Resulting Numbers: [34, 5, 14] Generated Node #0,0: 44:[34, 5, 14] Operation: 94-80=14 Moving to Node #0,0 Current State: 44:[34, 5, 14], Operations: ['94-80=14'] Exploring Operation: 34-14=20, Resulting Numbers: [5, 20] Generated Node #0,0,0: 44:[5, 20] Operation: 34-14=20 Moving to Node #0,0,0 Current State: 44:[5, 20], Operations: ['94-80=14', '34-14=20'] Exploring Operation: 20/5=4, Resulting Numbers: [4] 4,44 unequal: No Solution No solution found.	0	hs_1	sum_heuristic
[ 46, 77, 81, 5 ]	98	[ "81-46=35", "5*35=175", "175-77=98" ]	Current State: 98:[46, 77, 81, 5], Operations: [] Exploring Operation: 81-46=35, Resulting Numbers: [77, 5, 35] Generated Node #2: [77, 5, 35] from Operation: 81-46=35 Current State: 98:[77, 5, 35], Operations: ['81-46=35'] Exploring Operation: 535=175, Resulting Numbers: [77, 175] Generated Node #3: [77, 175] from Operation: 535=175 Current State: 98:[77, 175], Operations: ['81-46=35', '5*35=175'] Exploring Operation: 175-77=98, Resulting Numbers: [98] 98,98 equal: Goal Reached	4	Current State: 98:[46, 77, 81, 5], Operations: [] Exploring Operation: 81-46=35, Resulting Numbers: [77, 5, 35] Generated Node #0,0: 98:[77, 5, 35] Operation: 81-46=35 Exploring Operation: 77+5=82, Resulting Numbers: [46, 81, 82] Generated Node #0,1: 98:[46, 81, 82] Operation: 77+5=82 Exploring Operation: 81+5=86, Resulting Numbers: [46, 77, 86] Generated Node #0,2: 98:[46, 77, 86] Operation: 81+5=86 Exploring Operation: 81-77=4, Resulting Numbers: [46, 5, 4] Generated Node #0,3: 98:[46, 5, 4] Operation: 81-77=4 Exploring Operation: 77-46=31, Resulting Numbers: [81, 5, 31] Generated Node #0,4: 98:[81, 5, 31] Operation: 77-46=31 Moving to Node #0,3 Current State: 98:[46, 5, 4], Operations: ['81-77=4'] Exploring Operation: 5+4=9, Resulting Numbers: [46, 9] Generated Node #0,3,0: 98:[46, 9] Operation: 5+4=9 Exploring Operation: 46+4=50, Resulting Numbers: [5, 50] Generated Node #0,3,1: 98:[5, 50] Operation: 46+4=50 Exploring Operation: 46-4=42, Resulting Numbers: [5, 42] Generated Node #0,3,2: 98:[5, 42] Operation: 46-4=42 Exploring Operation: 5-4=1, Resulting Numbers: [46, 1] Generated Node #0,3,3: 98:[46, 1] Operation: 5-4=1 Exploring Operation: 46+5=51, Resulting Numbers: [4, 51] Generated Node #0,3,4: 98:[4, 51] Operation: 46+5=51 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 98:[5, 50], Operations: ['81-77=4', '46+4=50'] Exploring Operation: 50/5=10, Resulting Numbers: [10] 10,98 unequal: No Solution Exploring Operation: 550=250, Resulting Numbers: [250] 250,98 unequal: No Solution Exploring Operation: 50-5=45, Resulting Numbers: [45] 45,98 unequal: No Solution Exploring Operation: 5+50=55, Resulting Numbers: [55] 55,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 98:[46, 1], Operations: ['81-77=4', '5-4=1'] Exploring Operation: 46-1=45, Resulting Numbers: [45] 45,98 unequal: No Solution Exploring Operation: 46+1=47, Resulting Numbers: [47] 47,98 unequal: No Solution Exploring Operation: 46/1=46, Resulting Numbers: [46] 46,98 unequal: No Solution Exploring Operation: 461=46, Resulting Numbers: [46] 46,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 98:[4, 51], Operations: ['81-77=4', '46+5=51'] Exploring Operation: 4+51=55, Resulting Numbers: [55] 55,98 unequal: No Solution Exploring Operation: 451=204, Resulting Numbers: [204] 204,98 unequal: No Solution Exploring Operation: 51-4=47, Resulting Numbers: [47] 47,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 98:[46, 9], Operations: ['81-77=4', '5+4=9'] Exploring Operation: 46+9=55, Resulting Numbers: [55] 55,98 unequal: No Solution Exploring Operation: 46-9=37, Resulting Numbers: [37] 37,98 unequal: No Solution Exploring Operation: 469=414, Resulting Numbers: [414] 414,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 98:[5, 42], Operations: ['81-77=4', '46-4=42'] Exploring Operation: 42-5=37, Resulting Numbers: [37] 37,98 unequal: No Solution Exploring Operation: 542=210, Resulting Numbers: [210] 210,98 unequal: No Solution Exploring Operation: 5+42=47, Resulting Numbers: [47] 47,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 98:[46, 77, 86], Operations: ['81+5=86'] Exploring Operation: 46+86=132, Resulting Numbers: [77, 132] Generated Node #0,2,0: 98:[77, 132] Operation: 46+86=132 Exploring Operation: 46+77=123, Resulting Numbers: [86, 123] Generated Node #0,2,1: 98:[86, 123] Operation: 46+77=123 Exploring Operation: 86-46=40, Resulting Numbers: [77, 40] Generated Node #0,2,2: 98:[77, 40] Operation: 86-46=40 Exploring Operation: 86-77=9, Resulting Numbers: [46, 9] Generated Node #0,2,3: 98:[46, 9] Operation: 86-77=9 Exploring Operation: 77-46=31, Resulting Numbers: [86, 31] Generated Node #0,2,4: 98:[86, 31] Operation: 77-46=31 Moving to Node #0,1 Current State: 98:[46, 81, 82], Operations: ['77+5=82'] Exploring Operation: 82-46=36, Resulting Numbers: [81, 36] Generated Node #0,1,0: 98:[81, 36] Operation: 82-46=36 Exploring Operation: 46+81=127, Resulting Numbers: [82, 127] Generated Node #0,1,1: 98:[82, 127] Operation: 46+81=127 Exploring Operation: 46+82=128, Resulting Numbers: [81, 128] Generated Node #0,1,2: 98:[81, 128] Operation: 46+82=128 Exploring Operation: 82-81=1, Resulting Numbers: [46, 1] Generated Node #0,1,3: 98:[46, 1] Operation: 82-81=1 Exploring Operation: 81-46=35, Resulting Numbers: [82, 35] Generated Node #0,1,4: 98:[82, 35] Operation: 81-46=35 Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 98:[46, 1], Operations: ['77+5=82', '82-81=1'] Exploring Operation: 46/1=46, Resulting Numbers: [46] 46,98 unequal: No Solution Exploring Operation: 46-1=45, Resulting Numbers: [45] 45,98 unequal: No Solution Exploring Operation: 461=46, Resulting Numbers: [46] 46,98 unequal: No Solution Exploring Operation: 46+1=47, Resulting Numbers: [47] 47,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 98:[81, 36], Operations: ['77+5=82', '82-46=36'] Exploring Operation: 81+36=117, Resulting Numbers: [117] 117,98 unequal: No Solution Exploring Operation: 81-36=45, Resulting Numbers: [45] 45,98 unequal: No Solution Exploring Operation: 8136=2916, Resulting Numbers: [2916] 2916,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 98:[82, 35], Operations: ['77+5=82', '81-46=35'] Exploring Operation: 82+35=117, Resulting Numbers: [117] 117,98 unequal: No Solution Exploring Operation: 82-35=47, Resulting Numbers: [47] 47,98 unequal: No Solution Exploring Operation: 8235=2870, Resulting Numbers: [2870] 2870,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 98:[82, 127], Operations: ['77+5=82', '46+81=127'] Exploring Operation: 127-82=45, Resulting Numbers: [45] 45,98 unequal: No Solution Exploring Operation: 82127=10414, Resulting Numbers: [10414] 10414,98 unequal: No Solution Exploring Operation: 82+127=209, Resulting Numbers: [209] 209,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 98:[81, 128], Operations: ['77+5=82', '46+82=128'] Exploring Operation: 81+128=209, Resulting Numbers: [209] 209,98 unequal: No Solution Exploring Operation: 128-81=47, Resulting Numbers: [47] 47,98 unequal: No Solution Exploring Operation: 81128=10368, Resulting Numbers: [10368] 10368,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,4 Current State: 98:[81, 5, 31], Operations: ['77-46=31'] Exploring Operation: 81+5=86, Resulting Numbers: [31, 86] Generated Node #0,4,0: 98:[31, 86] Operation: 81+5=86 Exploring Operation: 81-31=50, Resulting Numbers: [5, 50] Generated Node #0,4,1: 98:[5, 50] Operation: 81-31=50 Exploring Operation: 5+31=36, Resulting Numbers: [81, 36] Generated Node #0,4,2: 98:[81, 36] Operation: 5+31=36 Exploring Operation: 31-5=26, Resulting Numbers: [81, 26] Generated Node #0,4,3: 98:[81, 26] Operation: 31-5=26 Exploring Operation: 81+31=112, Resulting Numbers: [5, 112] Generated Node #0,4,4: 98:[5, 112] Operation: 81+31=112 Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 98:[5, 50], Operations: ['77-46=31', '81-31=50'] Exploring Operation: 550=250, Resulting Numbers: [250] 250,98 unequal: No Solution Exploring Operation: 5+50=55, Resulting Numbers: [55] 55,98 unequal: No Solution Exploring Operation: 50-5=45, Resulting Numbers: [45] 45,98 unequal: No Solution Exploring Operation: 50/5=10, Resulting Numbers: [10] 10,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 98:[5, 112], Operations: ['77-46=31', '81+31=112'] Exploring Operation: 5+112=117, Resulting Numbers: [117] 117,98 unequal: No Solution Exploring Operation: 112-5=107, Resulting Numbers: [107] 107,98 unequal: No Solution Exploring Operation: 5112=560, Resulting Numbers: [560] 560,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 98:[31, 86], Operations: ['77-46=31', '81+5=86'] Exploring Operation: 3186=2666, Resulting Numbers: [2666] 2666,98 unequal: No Solution Exploring Operation: 86-31=55, Resulting Numbers: [55] 55,98 unequal: No Solution Exploring Operation: 31+86=117, Resulting Numbers: [117] 117,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 98:[81, 26], Operations: ['77-46=31', '31-5=26'] Exploring Operation: 81+26=107, Resulting Numbers: [107] 107,98 unequal: No Solution Exploring Operation: 8126=2106, Resulting Numbers: [2106] 2106,98 unequal: No Solution Exploring Operation: 81-26=55, Resulting Numbers: [55] 55,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 98:[81, 36], Operations: ['77-46=31', '5+31=36'] Exploring Operation: 81+36=117, Resulting Numbers: [117] 117,98 unequal: No Solution Exploring Operation: 8136=2916, Resulting Numbers: [2916] 2916,98 unequal: No Solution Exploring Operation: 81-36=45, Resulting Numbers: [45] 45,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 98:[77, 5, 35], Operations: ['81-46=35'] Exploring Operation: 77+5=82, Resulting Numbers: [35, 82] Generated Node #0,0,0: 98:[35, 82] Operation: 77+5=82 Exploring Operation: 77-35=42, Resulting Numbers: [5, 42] Generated Node #0,0,1: 98:[5, 42] Operation: 77-35=42 Exploring Operation: 5+35=40, Resulting Numbers: [77, 40] Generated Node #0,0,2: 98:[77, 40] Operation: 5+35=40 Exploring Operation: 35/5=7, Resulting Numbers: [77, 7] Generated Node #0,0,3: 98:[77, 7] Operation: 35/5=7 Exploring Operation: 77+35=112, Resulting Numbers: [5, 112] Generated Node #0,0,4: 98:[5, 112] Operation: 77+35=112 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 98:[5, 42], Operations: ['81-46=35', '77-35=42'] Exploring Operation: 542=210, Resulting Numbers: [210] 210,98 unequal: No Solution Exploring Operation: 42-5=37, Resulting Numbers: [37] 37,98 unequal: No Solution Exploring Operation: 5+42=47, Resulting Numbers: [47] 47,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 98:[5, 112], Operations: ['81-46=35', '77+35=112'] Exploring Operation: 112-5=107, Resulting Numbers: [107] 107,98 unequal: No Solution Exploring Operation: 5112=560, Resulting Numbers: [560] 560,98 unequal: No Solution Exploring Operation: 5+112=117, Resulting Numbers: [117] 117,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 98:[77, 7], Operations: ['81-46=35', '35/5=7'] Exploring Operation: 77/7=11, Resulting Numbers: [11] 11,98 unequal: No Solution Exploring Operation: 77-7=70, Resulting Numbers: [70] 70,98 unequal: No Solution Exploring Operation: 777=539, Resulting Numbers: [539] 539,98 unequal: No Solution Exploring Operation: 77+7=84, Resulting Numbers: [84] 84,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 98:[35, 82], Operations: ['81-46=35', '77+5=82'] Exploring Operation: 35+82=117, Resulting Numbers: [117] 117,98 unequal: No Solution Exploring Operation: 3582=2870, Resulting Numbers: [2870] 2870,98 unequal: No Solution Exploring Operation: 82-35=47, Resulting Numbers: [47] 47,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 98:[77, 40], Operations: ['81-46=35', '5+35=40'] Exploring Operation: 77-40=37, Resulting Numbers: [37] 37,98 unequal: No Solution Exploring Operation: 77+40=117, Resulting Numbers: [117] 117,98 unequal: No Solution Exploring Operation: 7740=3080, Resulting Numbers: [3080] 3080,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2,3 Current State: 98:[46, 9], Operations: ['81+5=86', '86-77=9'] Exploring Operation: 46-9=37, Resulting Numbers: [37] 37,98 unequal: No Solution Exploring Operation: 469=414, Resulting Numbers: [414] 414,98 unequal: No Solution Exploring Operation: 46+9=55, Resulting Numbers: [55] 55,98 unequal: No Solution Moving to Node #0,2,4 Current State: 98:[86, 31], Operations: ['81+5=86', '77-46=31'] Exploring Operation: 86+31=117, Resulting Numbers: [117] 117,98 unequal: No Solution Exploring Operation: 86-31=55, Resulting Numbers: [55] 55,98 unequal: No Solution Exploring Operation: 8631=2666, Resulting Numbers: [2666] 2666,98 unequal: No Solution Moving to Node #0,2,2 Current State: 98:[77, 40], Operations: ['81+5=86', '86-46=40'] Exploring Operation: 77+40=117, Resulting Numbers: [117] 117,98 unequal: No Solution Exploring Operation: 7740=3080, Resulting Numbers: [3080] 3080,98 unequal: No Solution Exploring Operation: 77-40=37, Resulting Numbers: [37] 37,98 unequal: No Solution Moving to Node #0,2,1 Current State: 98:[86, 123], Operations: ['81+5=86', '46+77=123'] Exploring Operation: 86123=10578, Resulting Numbers: [10578] 10578,98 unequal: No Solution Exploring Operation: 123-86=37, Resulting Numbers: [37] 37,98 unequal: No Solution Exploring Operation: 86+123=209, Resulting Numbers: [209] 209,98 unequal: No Solution Moving to Node #0,2,0 Current State: 98:[77, 132], Operations: ['81+5=86', '46+86=132'] Exploring Operation: 77+132=209, Resulting Numbers: [209] 209,98 unequal: No Solution Exploring Operation: 132-77=55, Resulting Numbers: [55] 55,98 unequal: No Solution Exploring Operation: 77*132=10164, Resulting Numbers: [10164] 10164,98 unequal: No Solution No solution found.	0	hs_5	mult_heuristic
[ 48, 6, 18, 80 ]	36	[ "18*80=1440", "1440/48=30", "6+30=36" ]	Current State: 36:[48, 6, 18, 80], Operations: [] Exploring Operation: 1880=1440, Resulting Numbers: [48, 6, 1440] Generated Node #2: [48, 6, 1440] from Operation: 1880=1440 Current State: 36:[48, 6, 1440], Operations: ['1880=1440'] Exploring Operation: 1440/48=30, Resulting Numbers: [6, 30] Generated Node #3: [6, 30] from Operation: 1440/48=30 Current State: 36:[6, 30], Operations: ['1880=1440', '1440/48=30'] Exploring Operation: 6+30=36, Resulting Numbers: [36] 36,36 equal: Goal Reached	4	Current State: 36:[48, 6, 18, 80], Operations: [] Exploring Operation: 80-18=62, Resulting Numbers: [48, 6, 62] Generated Node #0,0: 36:[48, 6, 62] Operation: 80-18=62 Exploring Operation: 80-48=32, Resulting Numbers: [6, 18, 32] Generated Node #0,1: 36:[6, 18, 32] Operation: 80-48=32 Exploring Operation: 48/6=8, Resulting Numbers: [18, 80, 8] Generated Node #0,2: 36:[18, 80, 8] Operation: 48/6=8 Moving to Node #0,1 Current State: 36:[6, 18, 32], Operations: ['80-48=32'] Exploring Operation: 18-6=12, Resulting Numbers: [32, 12] Generated Node #0,1,0: 36:[32, 12] Operation: 18-6=12 Exploring Operation: 32-18=14, Resulting Numbers: [6, 14] Generated Node #0,1,1: 36:[6, 14] Operation: 32-18=14 Exploring Operation: 6+32=38, Resulting Numbers: [18, 38] Generated Node #0,1,2: 36:[18, 38] Operation: 6+32=38 Moving to Node #0,0 Current State: 36:[48, 6, 62], Operations: ['80-18=62'] Exploring Operation: 48-6=42, Resulting Numbers: [62, 42] Generated Node #0,0,0: 36:[62, 42] Operation: 48-6=42 Exploring Operation: 62-48=14, Resulting Numbers: [6, 14] Generated Node #0,0,1: 36:[6, 14] Operation: 62-48=14 Exploring Operation: 48/6=8, Resulting Numbers: [62, 8] Generated Node #0,0,2: 36:[62, 8] Operation: 48/6=8 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 36:[6, 14], Operations: ['80-18=62', '62-48=14'] Exploring Operation: 14-6=8, Resulting Numbers: [8] 8,36 unequal: No Solution Exploring Operation: 614=84, Resulting Numbers: [84] 84,36 unequal: No Solution Exploring Operation: 6+14=20, Resulting Numbers: [20] 20,36 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 36:[62, 8], Operations: ['80-18=62', '48/6=8'] Exploring Operation: 628=496, Resulting Numbers: [496] 496,36 unequal: No Solution Exploring Operation: 62-8=54, Resulting Numbers: [54] 54,36 unequal: No Solution Exploring Operation: 62+8=70, Resulting Numbers: [70] 70,36 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 36:[62, 42], Operations: ['80-18=62', '48-6=42'] Exploring Operation: 62-42=20, Resulting Numbers: [20] 20,36 unequal: No Solution Exploring Operation: 62+42=104, Resulting Numbers: [104] 104,36 unequal: No Solution Exploring Operation: 6242=2604, Resulting Numbers: [2604] 2604,36 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 36:[18, 80, 8], Operations: ['48/6=8'] Exploring Operation: 80-18=62, Resulting Numbers: [8, 62] Generated Node #0,2,0: 36:[8, 62] Operation: 80-18=62 Exploring Operation: 80-8=72, Resulting Numbers: [18, 72] Generated Node #0,2,1: 36:[18, 72] Operation: 80-8=72 Exploring Operation: 80/8=10, Resulting Numbers: [18, 10] Generated Node #0,2,2: 36:[18, 10] Operation: 80/8=10 Moving to Node #0,2,2 Current State: 36:[18, 10], Operations: ['48/6=8', '80/8=10'] Exploring Operation: 18-10=8, Resulting Numbers: [8] 8,36 unequal: No Solution Exploring Operation: 1810=180, Resulting Numbers: [180] 180,36 unequal: No Solution Exploring Operation: 18+10=28, Resulting Numbers: [28] 28,36 unequal: No Solution Moving to Node #0,1,1 Current State: 36:[6, 14], Operations: ['80-48=32', '32-18=14'] Exploring Operation: 6+14=20, Resulting Numbers: [20] 20,36 unequal: No Solution Exploring Operation: 14-6=8, Resulting Numbers: [8] 8,36 unequal: No Solution Exploring Operation: 614=84, Resulting Numbers: [84] 84,36 unequal: No Solution Moving to Node #0,1,2 Current State: 36:[18, 38], Operations: ['80-48=32', '6+32=38'] Exploring Operation: 1838=684, Resulting Numbers: [684] 684,36 unequal: No Solution Exploring Operation: 38-18=20, Resulting Numbers: [20] 20,36 unequal: No Solution Exploring Operation: 18+38=56, Resulting Numbers: [56] 56,36 unequal: No Solution Moving to Node #0,1,0 Current State: 36:[32, 12], Operations: ['80-48=32', '18-6=12'] Exploring Operation: 32+12=44, Resulting Numbers: [44] 44,36 unequal: No Solution Exploring Operation: 32-12=20, Resulting Numbers: [20] 20,36 unequal: No Solution Exploring Operation: 3212=384, Resulting Numbers: [384] 384,36 unequal: No Solution Moving to Node #0,2,0 Current State: 36:[8, 62], Operations: ['48/6=8', '80-18=62'] Exploring Operation: 8+62=70, Resulting Numbers: [70] 70,36 unequal: No Solution Exploring Operation: 62-8=54, Resulting Numbers: [54] 54,36 unequal: No Solution Exploring Operation: 862=496, Resulting Numbers: [496] 496,36 unequal: No Solution Moving to Node #0,2,1 Current State: 36:[18, 72], Operations: ['48/6=8', '80-8=72'] Exploring Operation: 72-18=54, Resulting Numbers: [54] 54,36 unequal: No Solution Exploring Operation: 18+72=90, Resulting Numbers: [90] 90,36 unequal: No Solution Exploring Operation: 72/18=4, Resulting Numbers: [4] 4,36 unequal: No Solution No solution found.	0	hs_3	sum_heuristic
[ 15, 4, 1, 2 ]	57	[ "15+4=19", "1+2=3", "19*3=57" ]	Current State: 57:[15, 4, 1, 2], Operations: [] Exploring Operation: 15+4=19, Resulting Numbers: [1, 2, 19] Generated Node #2: [1, 2, 19] from Operation: 15+4=19 Current State: 57:[1, 2, 19], Operations: ['15+4=19'] Exploring Operation: 1+2=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 1+2=3 Current State: 57:[19, 3], Operations: ['15+4=19', '1+2=3'] Exploring Operation: 19*3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached	4	Current State: 57:[15, 4, 1, 2], Operations: [] Exploring Operation: 15+2=17, Resulting Numbers: [4, 1, 17] Generated Node #0,0: 57:[4, 1, 17] Operation: 15+2=17 Exploring Operation: 4-1=3, Resulting Numbers: [15, 2, 3] Generated Node #0,1: 57:[15, 2, 3] Operation: 4-1=3 Exploring Operation: 15+1=16, Resulting Numbers: [4, 2, 16] Generated Node #0,2: 57:[4, 2, 16] Operation: 15+1=16 Exploring Operation: 15+4=19, Resulting Numbers: [1, 2, 19] Generated Node #0,3: 57:[1, 2, 19] Operation: 15+4=19 Exploring Operation: 1+2=3, Resulting Numbers: [15, 4, 3] Generated Node #0,4: 57:[15, 4, 3] Operation: 1+2=3 Start Sub Search at level 1: Moving to Node #0,3 Current State: 57:[1, 2, 19], Operations: ['15+4=19'] Exploring Operation: 1+2=3, Resulting Numbers: [19, 3] Generated Node #0,3,0: 57:[19, 3] Operation: 1+2=3 Exploring Operation: 2/1=2, Resulting Numbers: [19, 2] Generated Node #0,3,1: 57:[19, 2] Operation: 2/1=2 Exploring Operation: 12=2, Resulting Numbers: [19, 2] Generated Node #0,3,2: 57:[19, 2] Operation: 12=2 Exploring Operation: 119=19, Resulting Numbers: [2, 19] Generated Node #0,3,3: 57:[2, 19] Operation: 119=19 Exploring Operation: 19/1=19, Resulting Numbers: [2, 19] Generated Node #0,3,4: 57:[2, 19] Operation: 19/1=19 Moving to Node #0,3,0 Current State: 57:[19, 3], Operations: ['15+4=19', '1+2=3'] Exploring Operation: 193=57, Resulting Numbers: [57] 57,57 equal: Goal Reached Moving to Node #0 Current State: 57:[15, 4, 1, 2], Operations: [] Exploring Operation: 15+4=19, Resulting Numbers: [1, 2, 19] Generated Node #0,3: 57:[1, 2, 19] Operation: 15+4=19 Moving to Node #0,3 Current State: 57:[1, 2, 19], Operations: ['15+4=19'] Exploring Operation: 1+2=3, Resulting Numbers: [19, 3] Generated Node #0,3,0: 57:[19, 3] Operation: 1+2=3 Moving to Node #0,3,0 Current State: 57:[19, 3], Operations: ['15+4=19', '1+2=3'] Exploring Operation: 193=57, Resulting Numbers: [57] 57,57 equal: Goal Reached Exit Sub Search at level 1	0.986979	hs_5	sum_heuristic
[ 57, 18, 33, 75 ]	14	[ "57+75=132", "132/33=4", "18-4=14" ]	Current State: 14:[57, 18, 33, 75], Operations: [] Exploring Operation: 57+75=132, Resulting Numbers: [18, 33, 132] Generated Node #2: [18, 33, 132] from Operation: 57+75=132 Current State: 14:[18, 33, 132], Operations: ['57+75=132'] Exploring Operation: 132/33=4, Resulting Numbers: [18, 4] Generated Node #3: [18, 4] from Operation: 132/33=4 Current State: 14:[18, 4], Operations: ['57+75=132', '132/33=4'] Exploring Operation: 18-4=14, Resulting Numbers: [14] 14,14 equal: Goal Reached	4	Current State: 14:[57, 18, 33, 75], Operations: [] Exploring Operation: 57-33=24, Resulting Numbers: [18, 75, 24] Generated Node #0,0: 14:[18, 75, 24] Operation: 57-33=24 Exploring Operation: 75-57=18, Resulting Numbers: [18, 33, 18] Generated Node #0,1: 14:[18, 33, 18] Operation: 75-57=18 Exploring Operation: 75-33=42, Resulting Numbers: [57, 18, 42] Generated Node #0,2: 14:[57, 18, 42] Operation: 75-33=42 Start Sub Search at level 1: Moving to Node #0,1 Current State: 14:[18, 33, 18], Operations: ['75-57=18'] Exploring Operation: 33-18=15, Resulting Numbers: [18, 15] Generated Node #0,1,0: 14:[18, 15] Operation: 33-18=15 Exploring Operation: 33-18=15, Resulting Numbers: [18, 15] Generated Node #0,1,1: 14:[18, 15] Operation: 33-18=15 Exploring Operation: 18/18=1, Resulting Numbers: [33, 1] Generated Node #0,1,2: 14:[33, 1] Operation: 18/18=1 Moving to Node #0,1,0 Current State: 14:[18, 15], Operations: ['75-57=18', '33-18=15'] Exploring Operation: 18-15=3, Resulting Numbers: [3] 3,14 unequal: No Solution Exploring Operation: 18+15=33, Resulting Numbers: [33] 33,14 unequal: No Solution Exploring Operation: 1815=270, Resulting Numbers: [270] 270,14 unequal: No Solution Moving to Node #0,1,1 Current State: 14:[18, 15], Operations: ['75-57=18', '33-18=15'] Exploring Operation: 18+15=33, Resulting Numbers: [33] 33,14 unequal: No Solution Exploring Operation: 1815=270, Resulting Numbers: [270] 270,14 unequal: No Solution Exploring Operation: 18-15=3, Resulting Numbers: [3] 3,14 unequal: No Solution Moving to Node #0,1,2 Current State: 14:[33, 1], Operations: ['75-57=18', '18/18=1'] Exploring Operation: 33-1=32, Resulting Numbers: [32] 32,14 unequal: No Solution Exploring Operation: 33/1=33, Resulting Numbers: [33] 33,14 unequal: No Solution Exploring Operation: 331=33, Resulting Numbers: [33] 33,14 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 14:[18, 75, 24], Operations: ['57-33=24'] Exploring Operation: 75-24=51, Resulting Numbers: [18, 51] Generated Node #0,0,0: 14:[18, 51] Operation: 75-24=51 Exploring Operation: 75-18=57, Resulting Numbers: [24, 57] Generated Node #0,0,1: 14:[24, 57] Operation: 75-18=57 Exploring Operation: 24-18=6, Resulting Numbers: [75, 6] Generated Node #0,0,2: 14:[75, 6] Operation: 24-18=6 Moving to Node #0,0,0 Current State: 14:[18, 51], Operations: ['57-33=24', '75-24=51'] Exploring Operation: 18+51=69, Resulting Numbers: [69] 69,14 unequal: No Solution Exploring Operation: 51-18=33, Resulting Numbers: [33] 33,14 unequal: No Solution Exploring Operation: 1851=918, Resulting Numbers: [918] 918,14 unequal: No Solution Moving to Node #0,0,1 Current State: 14:[24, 57], Operations: ['57-33=24', '75-18=57'] Exploring Operation: 24+57=81, Resulting Numbers: [81] 81,14 unequal: No Solution Exploring Operation: 2457=1368, Resulting Numbers: [1368] 1368,14 unequal: No Solution Exploring Operation: 57-24=33, Resulting Numbers: [33] 33,14 unequal: No Solution Moving to Node #0,0,2 Current State: 14:[75, 6], Operations: ['57-33=24', '24-18=6'] Exploring Operation: 75+6=81, Resulting Numbers: [81] 81,14 unequal: No Solution Exploring Operation: 756=450, Resulting Numbers: [450] 450,14 unequal: No Solution Exploring Operation: 75-6=69, Resulting Numbers: [69] 69,14 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 14:[57, 18, 42], Operations: ['75-33=42'] Exploring Operation: 57-42=15, Resulting Numbers: [18, 15] Generated Node #0,2,0: 14:[18, 15] Operation: 57-42=15 Exploring Operation: 42-18=24, Resulting Numbers: [57, 24] Generated Node #0,2,1: 14:[57, 24] Operation: 42-18=24 Exploring Operation: 57-18=39, Resulting Numbers: [42, 39] Generated Node #0,2,2: 14:[42, 39] Operation: 57-18=39 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 14:[18, 15], Operations: ['75-33=42', '57-42=15'] Exploring Operation: 18+15=33, Resulting Numbers: [33] 33,14 unequal: No Solution Exploring Operation: 18-15=3, Resulting Numbers: [3] 3,14 unequal: No Solution Exploring Operation: 1815=270, Resulting Numbers: [270] 270,14 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 14:[57, 24], Operations: ['75-33=42', '42-18=24'] Exploring Operation: 5724=1368, Resulting Numbers: [1368] 1368,14 unequal: No Solution Exploring Operation: 57-24=33, Resulting Numbers: [33] 33,14 unequal: No Solution Exploring Operation: 57+24=81, Resulting Numbers: [81] 81,14 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 14:[42, 39], Operations: ['75-33=42', '57-18=39'] Exploring Operation: 42*39=1638, Resulting Numbers: [1638] 1638,14 unequal: No Solution Exploring Operation: 42-39=3, Resulting Numbers: [3] 3,14 unequal: No Solution Exploring Operation: 42+39=81, Resulting Numbers: [81] 81,14 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_3	mult_heuristic
[ 52, 88, 22, 2 ]	14	[ "52-22=30", "88/2=44", "44-30=14" ]	Current State: 14:[52, 88, 22, 2], Operations: [] Exploring Operation: 52-22=30, Resulting Numbers: [88, 2, 30] Generated Node #2: [88, 2, 30] from Operation: 52-22=30 Current State: 14:[88, 2, 30], Operations: ['52-22=30'] Exploring Operation: 88/2=44, Resulting Numbers: [30, 44] Generated Node #3: [30, 44] from Operation: 88/2=44 Current State: 14:[30, 44], Operations: ['52-22=30', '88/2=44'] Exploring Operation: 44-30=14, Resulting Numbers: [14] 14,14 equal: Goal Reached	4	Current State: 14:[52, 88, 22, 2], Operations: [] Exploring Operation: 88-52=36, Resulting Numbers: [22, 2, 36] Generated Node #0,0: 14:[22, 2, 36] Operation: 88-52=36 Exploring Operation: 88/2=44, Resulting Numbers: [52, 22, 44] Generated Node #0,1: 14:[52, 22, 44] Operation: 88/2=44 Exploring Operation: 88/22=4, Resulting Numbers: [52, 2, 4] Generated Node #0,2: 14:[52, 2, 4] Operation: 88/22=4 Moving to Node #0,0 Current State: 14:[22, 2, 36], Operations: ['88-52=36'] Exploring Operation: 36/2=18, Resulting Numbers: [22, 18] Generated Node #0,0,0: 14:[22, 18] Operation: 36/2=18 Exploring Operation: 36-22=14, Resulting Numbers: [2, 14] Generated Node #0,0,1: 14:[2, 14] Operation: 36-22=14 Exploring Operation: 22/2=11, Resulting Numbers: [36, 11] Generated Node #0,0,2: 14:[36, 11] Operation: 22/2=11 Moving to Node #0,2 Current State: 14:[52, 2, 4], Operations: ['88/22=4'] Exploring Operation: 52/4=13, Resulting Numbers: [2, 13] Generated Node #0,2,0: 14:[2, 13] Operation: 52/4=13 Exploring Operation: 52/2=26, Resulting Numbers: [4, 26] Generated Node #0,2,1: 14:[4, 26] Operation: 52/2=26 Exploring Operation: 52-4=48, Resulting Numbers: [2, 48] Generated Node #0,2,2: 14:[2, 48] Operation: 52-4=48 Moving to Node #0,1 Current State: 14:[52, 22, 44], Operations: ['88/2=44'] Exploring Operation: 52-44=8, Resulting Numbers: [22, 8] Generated Node #0,1,0: 14:[22, 8] Operation: 52-44=8 Exploring Operation: 44/22=2, Resulting Numbers: [52, 2] Generated Node #0,1,1: 14:[52, 2] Operation: 44/22=2 Exploring Operation: 52-22=30, Resulting Numbers: [44, 30] Generated Node #0,1,2: 14:[44, 30] Operation: 52-22=30 Moving to Node #0,0,1 Current State: 14:[2, 14], Operations: ['88-52=36', '36-22=14'] Exploring Operation: 14-2=12, Resulting Numbers: [12] 12,14 unequal: No Solution Exploring Operation: 2+14=16, Resulting Numbers: [16] 16,14 unequal: No Solution Exploring Operation: 14/2=7, Resulting Numbers: [7] 7,14 unequal: No Solution Moving to Node #0,2,0 Current State: 14:[2, 13], Operations: ['88/22=4', '52/4=13'] Exploring Operation: 2+13=15, Resulting Numbers: [15] 15,14 unequal: No Solution Exploring Operation: 213=26, Resulting Numbers: [26] 26,14 unequal: No Solution Exploring Operation: 13-2=11, Resulting Numbers: [11] 11,14 unequal: No Solution Moving to Node #0,1,0 Current State: 14:[22, 8], Operations: ['88/2=44', '52-44=8'] Exploring Operation: 228=176, Resulting Numbers: [176] 176,14 unequal: No Solution Exploring Operation: 22-8=14, Resulting Numbers: [14] 14,14 equal: Goal Reached Moving to Node #0 Current State: 14:[52, 88, 22, 2], Operations: [] Exploring Operation: 88/2=44, Resulting Numbers: [52, 22, 44] Generated Node #0,1: 14:[52, 22, 44] Operation: 88/2=44 Moving to Node #0,1 Current State: 14:[52, 22, 44], Operations: ['88/2=44'] Exploring Operation: 52-44=8, Resulting Numbers: [22, 8] Generated Node #0,1,0: 14:[22, 8] Operation: 52-44=8 Moving to Node #0,1,0 Current State: 14:[22, 8], Operations: ['88/2=44', '52-44=8'] Exploring Operation: 22-8=14, Resulting Numbers: [14] 14,14 equal: Goal Reached	0.979167	hs_3	mult_heuristic
[ 10, 56, 99, 54 ]	87	[ "10+56=66", "99+54=153", "153-66=87" ]	Current State: 87:[10, 56, 99, 54], Operations: [] Exploring Operation: 10+56=66, Resulting Numbers: [99, 54, 66] Generated Node #2: [99, 54, 66] from Operation: 10+56=66 Current State: 87:[99, 54, 66], Operations: ['10+56=66'] Exploring Operation: 99+54=153, Resulting Numbers: [66, 153] Generated Node #3: [66, 153] from Operation: 99+54=153 Current State: 87:[66, 153], Operations: ['10+56=66', '99+54=153'] Exploring Operation: 153-66=87, Resulting Numbers: [87] 87,87 equal: Goal Reached	4	Current State: 87:[10, 56, 99, 54], Operations: [] Exploring Operation: 56-54=2, Resulting Numbers: [10, 99, 2] Generated Node #0,0: 87:[10, 99, 2] Operation: 56-54=2 Exploring Operation: 56+54=110, Resulting Numbers: [10, 99, 110] Generated Node #0,1: 87:[10, 99, 110] Operation: 56+54=110 Start Sub Search at level 1: Moving to Node #0,0 Current State: 87:[10, 99, 2], Operations: ['56-54=2'] Exploring Operation: 99-10=89, Resulting Numbers: [2, 89] Generated Node #0,0,0: 87:[2, 89] Operation: 99-10=89 Exploring Operation: 10/2=5, Resulting Numbers: [99, 5] Generated Node #0,0,1: 87:[99, 5] Operation: 10/2=5 Moving to Node #0,0,0 Current State: 87:[2, 89], Operations: ['56-54=2', '99-10=89'] Exploring Operation: 2+89=91, Resulting Numbers: [91] 91,87 unequal: No Solution Exploring Operation: 89-2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached Moving to Node #0 Current State: 87:[10, 56, 99, 54], Operations: [] Exploring Operation: 56-54=2, Resulting Numbers: [10, 99, 2] Generated Node #0,0: 87:[10, 99, 2] Operation: 56-54=2 Moving to Node #0,0 Current State: 87:[10, 99, 2], Operations: ['56-54=2'] Exploring Operation: 99-10=89, Resulting Numbers: [2, 89] Generated Node #0,0,0: 87:[2, 89] Operation: 99-10=89 Moving to Node #0,0,0 Current State: 87:[2, 89], Operations: ['56-54=2', '99-10=89'] Exploring Operation: 89-2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached Exit Sub Search at level 1	0.991319	hs_2	sum_heuristic
[ 3, 45, 68, 30 ]	34	[ "45/3=15", "68*15=1020", "1020/30=34" ]	Current State: 34:[3, 45, 68, 30], Operations: [] Exploring Operation: 45/3=15, Resulting Numbers: [68, 30, 15] Generated Node #2: [68, 30, 15] from Operation: 45/3=15 Current State: 34:[68, 30, 15], Operations: ['45/3=15'] Exploring Operation: 6815=1020, Resulting Numbers: [30, 1020] Generated Node #3: [30, 1020] from Operation: 6815=1020 Current State: 34:[30, 1020], Operations: ['45/3=15', '68*15=1020'] Exploring Operation: 1020/30=34, Resulting Numbers: [34] 34,34 equal: Goal Reached	4	Current State: 34:[3, 45, 68, 30], Operations: [] Exploring Operation: 68-45=23, Resulting Numbers: [3, 30, 23] Generated Node #0,0: 34:[3, 30, 23] Operation: 68-45=23 Exploring Operation: 68-30=38, Resulting Numbers: [3, 45, 38] Generated Node #0,1: 34:[3, 45, 38] Operation: 68-30=38 Moving to Node #0,0 Current State: 34:[3, 30, 23], Operations: ['68-45=23'] Exploring Operation: 30-23=7, Resulting Numbers: [3, 7] Generated Node #0,0,0: 34:[3, 7] Operation: 30-23=7 Exploring Operation: 3+30=33, Resulting Numbers: [23, 33] Generated Node #0,0,1: 34:[23, 33] Operation: 3+30=33 Moving to Node #0,1 Current State: 34:[3, 45, 38], Operations: ['68-30=38'] Exploring Operation: 45-38=7, Resulting Numbers: [3, 7] Generated Node #0,1,0: 34:[3, 7] Operation: 45-38=7 Exploring Operation: 45/3=15, Resulting Numbers: [38, 15] Generated Node #0,1,1: 34:[38, 15] Operation: 45/3=15 Moving to Node #0,0,0 Current State: 34:[3, 7], Operations: ['68-45=23', '30-23=7'] Exploring Operation: 7-3=4, Resulting Numbers: [4] 4,34 unequal: No Solution Exploring Operation: 37=21, Resulting Numbers: [21] 21,34 unequal: No Solution Moving to Node #0,1,0 Current State: 34:[3, 7], Operations: ['68-30=38', '45-38=7'] Exploring Operation: 7-3=4, Resulting Numbers: [4] 4,34 unequal: No Solution Exploring Operation: 37=21, Resulting Numbers: [21] 21,34 unequal: No Solution Moving to Node #0,1,1 Current State: 34:[38, 15], Operations: ['68-30=38', '45/3=15'] Exploring Operation: 38+15=53, Resulting Numbers: [53] 53,34 unequal: No Solution Exploring Operation: 38-15=23, Resulting Numbers: [23] 23,34 unequal: No Solution Moving to Node #0,0,1 Current State: 34:[23, 33], Operations: ['68-45=23', '3+30=33'] Exploring Operation: 23+33=56, Resulting Numbers: [56] 56,34 unequal: No Solution Exploring Operation: 33-23=10, Resulting Numbers: [10] 10,34 unequal: No Solution No solution found.	0	hs_2	sum_heuristic
[ 5, 6, 86, 30 ]	22	[ "86-6=80", "30+80=110", "110/5=22" ]	Current State: 22:[5, 6, 86, 30], Operations: [] Exploring Operation: 86-6=80, Resulting Numbers: [5, 30, 80] Generated Node #2: [5, 30, 80] from Operation: 86-6=80 Current State: 22:[5, 30, 80], Operations: ['86-6=80'] Exploring Operation: 30+80=110, Resulting Numbers: [5, 110] Generated Node #3: [5, 110] from Operation: 30+80=110 Current State: 22:[5, 110], Operations: ['86-6=80', '30+80=110'] Exploring Operation: 110/5=22, Resulting Numbers: [22] 22,22 equal: Goal Reached	4	Current State: 22:[5, 6, 86, 30], Operations: [] Exploring Operation: 30-6=24, Resulting Numbers: [5, 86, 24] Generated Node #0,0: 22:[5, 86, 24] Operation: 30-6=24 Exploring Operation: 86-6=80, Resulting Numbers: [5, 30, 80] Generated Node #0,1: 22:[5, 30, 80] Operation: 86-6=80 Exploring Operation: 30/6=5, Resulting Numbers: [5, 86, 5] Generated Node #0,2: 22:[5, 86, 5] Operation: 30/6=5 Exploring Operation: 86-30=56, Resulting Numbers: [5, 6, 56] Generated Node #0,3: 22:[5, 6, 56] Operation: 86-30=56 Moving to Node #0,3 Current State: 22:[5, 6, 56], Operations: ['86-30=56'] Exploring Operation: 56-6=50, Resulting Numbers: [5, 50] Generated Node #0,3,0: 22:[5, 50] Operation: 56-6=50 Exploring Operation: 56-5=51, Resulting Numbers: [6, 51] Generated Node #0,3,1: 22:[6, 51] Operation: 56-5=51 Exploring Operation: 5+6=11, Resulting Numbers: [56, 11] Generated Node #0,3,2: 22:[56, 11] Operation: 5+6=11 Exploring Operation: 6-5=1, Resulting Numbers: [56, 1] Generated Node #0,3,3: 22:[56, 1] Operation: 6-5=1 Moving to Node #0,1 Current State: 22:[5, 30, 80], Operations: ['86-6=80'] Exploring Operation: 80/5=16, Resulting Numbers: [30, 16] Generated Node #0,1,0: 22:[30, 16] Operation: 80/5=16 Exploring Operation: 80-30=50, Resulting Numbers: [5, 50] Generated Node #0,1,1: 22:[5, 50] Operation: 80-30=50 Exploring Operation: 30-5=25, Resulting Numbers: [80, 25] Generated Node #0,1,2: 22:[80, 25] Operation: 30-5=25 Exploring Operation: 80-5=75, Resulting Numbers: [30, 75] Generated Node #0,1,3: 22:[30, 75] Operation: 80-5=75 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 22:[30, 16], Operations: ['86-6=80', '80/5=16'] Exploring Operation: 30-16=14, Resulting Numbers: [14] 14,22 unequal: No Solution Exploring Operation: 3016=480, Resulting Numbers: [480] 480,22 unequal: No Solution Exploring Operation: 30+16=46, Resulting Numbers: [46] 46,22 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 22:[5, 50], Operations: ['86-6=80', '80-30=50'] Exploring Operation: 50-5=45, Resulting Numbers: [45] 45,22 unequal: No Solution Exploring Operation: 550=250, Resulting Numbers: [250] 250,22 unequal: No Solution Exploring Operation: 50/5=10, Resulting Numbers: [10] 10,22 unequal: No Solution Exploring Operation: 5+50=55, Resulting Numbers: [55] 55,22 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 22:[80, 25], Operations: ['86-6=80', '30-5=25'] Exploring Operation: 80-25=55, Resulting Numbers: [55] 55,22 unequal: No Solution Exploring Operation: 8025=2000, Resulting Numbers: [2000] 2000,22 unequal: No Solution Exploring Operation: 80+25=105, Resulting Numbers: [105] 105,22 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 22:[30, 75], Operations: ['86-6=80', '80-5=75'] Exploring Operation: 30+75=105, Resulting Numbers: [105] 105,22 unequal: No Solution Exploring Operation: 75-30=45, Resulting Numbers: [45] 45,22 unequal: No Solution Exploring Operation: 3075=2250, Resulting Numbers: [2250] 2250,22 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 22:[5, 86, 24], Operations: ['30-6=24'] Exploring Operation: 86-5=81, Resulting Numbers: [24, 81] Generated Node #0,0,0: 22:[24, 81] Operation: 86-5=81 Exploring Operation: 5+86=91, Resulting Numbers: [24, 91] Generated Node #0,0,1: 22:[24, 91] Operation: 5+86=91 Exploring Operation: 24-5=19, Resulting Numbers: [86, 19] Generated Node #0,0,2: 22:[86, 19] Operation: 24-5=19 Exploring Operation: 86-24=62, Resulting Numbers: [5, 62] Generated Node #0,0,3: 22:[5, 62] Operation: 86-24=62 Moving to Node #0,2 Current State: 22:[5, 86, 5], Operations: ['30/6=5'] Exploring Operation: 86-5=81, Resulting Numbers: [5, 81] Generated Node #0,2,0: 22:[5, 81] Operation: 86-5=81 Exploring Operation: 86-5=81, Resulting Numbers: [5, 81] Generated Node #0,2,1: 22:[5, 81] Operation: 86-5=81 Exploring Operation: 5+5=10, Resulting Numbers: [86, 10] Generated Node #0,2,2: 22:[86, 10] Operation: 5+5=10 Exploring Operation: 5/5=1, Resulting Numbers: [86, 1] Generated Node #0,2,3: 22:[86, 1] Operation: 5/5=1 Moving to Node #0,3,0 Current State: 22:[5, 50], Operations: ['86-30=56', '56-6=50'] Exploring Operation: 550=250, Resulting Numbers: [250] 250,22 unequal: No Solution Exploring Operation: 50/5=10, Resulting Numbers: [10] 10,22 unequal: No Solution Exploring Operation: 5+50=55, Resulting Numbers: [55] 55,22 unequal: No Solution Exploring Operation: 50-5=45, Resulting Numbers: [45] 45,22 unequal: No Solution Moving to Node #0,3,1 Current State: 22:[6, 51], Operations: ['86-30=56', '56-5=51'] Exploring Operation: 651=306, Resulting Numbers: [306] 306,22 unequal: No Solution Exploring Operation: 6+51=57, Resulting Numbers: [57] 57,22 unequal: No Solution Exploring Operation: 51-6=45, Resulting Numbers: [45] 45,22 unequal: No Solution Moving to Node #0,3,2 Current State: 22:[56, 11], Operations: ['86-30=56', '5+6=11'] Exploring Operation: 56+11=67, Resulting Numbers: [67] 67,22 unequal: No Solution Exploring Operation: 5611=616, Resulting Numbers: [616] 616,22 unequal: No Solution Exploring Operation: 56-11=45, Resulting Numbers: [45] 45,22 unequal: No Solution Moving to Node #0,3,3 Current State: 22:[56, 1], Operations: ['86-30=56', '6-5=1'] Exploring Operation: 56-1=55, Resulting Numbers: [55] 55,22 unequal: No Solution Exploring Operation: 561=56, Resulting Numbers: [56] 56,22 unequal: No Solution Exploring Operation: 56/1=56, Resulting Numbers: [56] 56,22 unequal: No Solution Exploring Operation: 56+1=57, Resulting Numbers: [57] 57,22 unequal: No Solution Moving to Node #0,0,3 Current State: 22:[5, 62], Operations: ['30-6=24', '86-24=62'] Exploring Operation: 562=310, Resulting Numbers: [310] 310,22 unequal: No Solution Exploring Operation: 5+62=67, Resulting Numbers: [67] 67,22 unequal: No Solution Exploring Operation: 62-5=57, Resulting Numbers: [57] 57,22 unequal: No Solution Moving to Node #0,0,0 Current State: 22:[24, 81], Operations: ['30-6=24', '86-5=81'] Exploring Operation: 2481=1944, Resulting Numbers: [1944] 1944,22 unequal: No Solution Exploring Operation: 81-24=57, Resulting Numbers: [57] 57,22 unequal: No Solution Exploring Operation: 24+81=105, Resulting Numbers: [105] 105,22 unequal: No Solution Moving to Node #0,2,1 Current State: 22:[5, 81], Operations: ['30/6=5', '86-5=81'] Exploring Operation: 81-5=76, Resulting Numbers: [76] 76,22 unequal: No Solution Exploring Operation: 5+81=86, Resulting Numbers: [86] 86,22 unequal: No Solution Exploring Operation: 581=405, Resulting Numbers: [405] 405,22 unequal: No Solution Moving to Node #0,2,0 Current State: 22:[5, 81], Operations: ['30/6=5', '86-5=81'] Exploring Operation: 581=405, Resulting Numbers: [405] 405,22 unequal: No Solution Exploring Operation: 5+81=86, Resulting Numbers: [86] 86,22 unequal: No Solution Exploring Operation: 81-5=76, Resulting Numbers: [76] 76,22 unequal: No Solution Moving to Node #0,2,2 Current State: 22:[86, 10], Operations: ['30/6=5', '5+5=10'] Exploring Operation: 86-10=76, Resulting Numbers: [76] 76,22 unequal: No Solution Exploring Operation: 86+10=96, Resulting Numbers: [96] 96,22 unequal: No Solution Exploring Operation: 8610=860, Resulting Numbers: [860] 860,22 unequal: No Solution Moving to Node #0,2,3 Current State: 22:[86, 1], Operations: ['30/6=5', '5/5=1'] Exploring Operation: 86-1=85, Resulting Numbers: [85] 85,22 unequal: No Solution Exploring Operation: 86+1=87, Resulting Numbers: [87] 87,22 unequal: No Solution Exploring Operation: 861=86, Resulting Numbers: [86] 86,22 unequal: No Solution Exploring Operation: 86/1=86, Resulting Numbers: [86] 86,22 unequal: No Solution Moving to Node #0,0,2 Current State: 22:[86, 19], Operations: ['30-6=24', '24-5=19'] Exploring Operation: 86-19=67, Resulting Numbers: [67] 67,22 unequal: No Solution Exploring Operation: 8619=1634, Resulting Numbers: [1634] 1634,22 unequal: No Solution Exploring Operation: 86+19=105, Resulting Numbers: [105] 105,22 unequal: No Solution Moving to Node #0,0,1 Current State: 22:[24, 91], Operations: ['30-6=24', '5+86=91'] Exploring Operation: 2491=2184, Resulting Numbers: [2184] 2184,22 unequal: No Solution Exploring Operation: 91-24=67, Resulting Numbers: [67] 67,22 unequal: No Solution Exploring Operation: 24+91=115, Resulting Numbers: [115] 115,22 unequal: No Solution No solution found.	0	hs_4	mult_heuristic
[ 90, 20, 87, 85 ]	65	[ "87-85=2", "90/2=45", "20+45=65" ]	Current State: 65:[90, 20, 87, 85], Operations: [] Exploring Operation: 87-85=2, Resulting Numbers: [90, 20, 2] Generated Node #2: [90, 20, 2] from Operation: 87-85=2 Current State: 65:[90, 20, 2], Operations: ['87-85=2'] Exploring Operation: 90/2=45, Resulting Numbers: [20, 45] Generated Node #3: [20, 45] from Operation: 90/2=45 Current State: 65:[20, 45], Operations: ['87-85=2', '90/2=45'] Exploring Operation: 20+45=65, Resulting Numbers: [65] 65,65 equal: Goal Reached	4	Current State: 65:[90, 20, 87, 85], Operations: [] Exploring Operation: 90-87=3, Resulting Numbers: [20, 85, 3] Generated Node #0,0: 65:[20, 85, 3] Operation: 90-87=3 Exploring Operation: 90-85=5, Resulting Numbers: [20, 87, 5] Generated Node #0,1: 65:[20, 87, 5] Operation: 90-85=5 Start Sub Search at level 1: Moving to Node #0,0 Current State: 65:[20, 85, 3], Operations: ['90-87=3'] Exploring Operation: 20-3=17, Resulting Numbers: [85, 17] Generated Node #0,0,0: 65:[85, 17] Operation: 20-3=17 Exploring Operation: 85-20=65, Resulting Numbers: [3, 65] Generated Node #0,0,1: 65:[3, 65] Operation: 85-20=65 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 65:[3, 65], Operations: ['90-87=3', '85-20=65'] Exploring Operation: 3+65=68, Resulting Numbers: [68] 68,65 unequal: No Solution Exploring Operation: 65-3=62, Resulting Numbers: [62] 62,65 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 65:[85, 17], Operations: ['90-87=3', '20-3=17'] Exploring Operation: 85-17=68, Resulting Numbers: [68] 68,65 unequal: No Solution Exploring Operation: 85/17=5, Resulting Numbers: [5] 5,65 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 65:[20, 87, 5], Operations: ['90-85=5'] Exploring Operation: 87-20=67, Resulting Numbers: [5, 67] Generated Node #0,1,0: 65:[5, 67] Operation: 87-20=67 Exploring Operation: 20/5=4, Resulting Numbers: [87, 4] Generated Node #0,1,1: 65:[87, 4] Operation: 20/5=4 Moving to Node #0,1,0 Current State: 65:[5, 67], Operations: ['90-85=5', '87-20=67'] Exploring Operation: 67-5=62, Resulting Numbers: [62] 62,65 unequal: No Solution Exploring Operation: 5+67=72, Resulting Numbers: [72] 72,65 unequal: No Solution Moving to Node #0,1,1 Current State: 65:[87, 4], Operations: ['90-85=5', '20/5=4'] Exploring Operation: 87-4=83, Resulting Numbers: [83] 83,65 unequal: No Solution Exploring Operation: 87+4=91, Resulting Numbers: [91] 91,65 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_2	mult_heuristic
[ 23, 88, 99, 17 ]	77	[ "99*17=1683", "88+1683=1771", "1771/23=77" ]	Current State: 77:[23, 88, 99, 17], Operations: [] Exploring Operation: 9917=1683, Resulting Numbers: [23, 88, 1683] Generated Node #2: [23, 88, 1683] from Operation: 9917=1683 Current State: 77:[23, 88, 1683], Operations: ['9917=1683'] Exploring Operation: 88+1683=1771, Resulting Numbers: [23, 1771] Generated Node #3: [23, 1771] from Operation: 88+1683=1771 Current State: 77:[23, 1771], Operations: ['9917=1683', '88+1683=1771'] Exploring Operation: 1771/23=77, Resulting Numbers: [77] 77,77 equal: Goal Reached	4	Current State: 77:[23, 88, 99, 17], Operations: [] Exploring Operation: 23-17=6, Resulting Numbers: [88, 99, 6] Generated Node #0,0: 77:[88, 99, 6] Operation: 23-17=6 Exploring Operation: 99-23=76, Resulting Numbers: [88, 17, 76] Generated Node #0,1: 77:[88, 17, 76] Operation: 99-23=76 Exploring Operation: 88-23=65, Resulting Numbers: [99, 17, 65] Generated Node #0,2: 77:[99, 17, 65] Operation: 88-23=65 Exploring Operation: 99-17=82, Resulting Numbers: [23, 88, 82] Generated Node #0,3: 77:[23, 88, 82] Operation: 99-17=82 Exploring Operation: 99-88=11, Resulting Numbers: [23, 17, 11] Generated Node #0,4: 77:[23, 17, 11] Operation: 99-88=11 Moving to Node #0,1 Current State: 77:[88, 17, 76], Operations: ['99-23=76'] Exploring Operation: 88-76=12, Resulting Numbers: [17, 12] Generated Node #0,1,0: 77:[17, 12] Operation: 88-76=12 Exploring Operation: 88-17=71, Resulting Numbers: [76, 71] Generated Node #0,1,1: 77:[76, 71] Operation: 88-17=71 Exploring Operation: 76-17=59, Resulting Numbers: [88, 59] Generated Node #0,1,2: 77:[88, 59] Operation: 76-17=59 Exploring Operation: 17+76=93, Resulting Numbers: [88, 93] Generated Node #0,1,3: 77:[88, 93] Operation: 17+76=93 Exploring Operation: 88+17=105, Resulting Numbers: [76, 105] Generated Node #0,1,4: 77:[76, 105] Operation: 88+17=105 Moving to Node #0,4 Current State: 77:[23, 17, 11], Operations: ['99-88=11'] Exploring Operation: 17-11=6, Resulting Numbers: [23, 6] Generated Node #0,4,0: 77:[23, 6] Operation: 17-11=6 Exploring Operation: 23+11=34, Resulting Numbers: [17, 34] Generated Node #0,4,1: 77:[17, 34] Operation: 23+11=34 Exploring Operation: 23-17=6, Resulting Numbers: [11, 6] Generated Node #0,4,2: 77:[11, 6] Operation: 23-17=6 Exploring Operation: 23-11=12, Resulting Numbers: [17, 12] Generated Node #0,4,3: 77:[17, 12] Operation: 23-11=12 Exploring Operation: 23+17=40, Resulting Numbers: [11, 40] Generated Node #0,4,4: 77:[11, 40] Operation: 23+17=40 Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 77:[11, 6], Operations: ['99-88=11', '23-17=6'] Exploring Operation: 11+6=17, Resulting Numbers: [17] 17,77 unequal: No Solution Exploring Operation: 11-6=5, Resulting Numbers: [5] 5,77 unequal: No Solution Exploring Operation: 116=66, Resulting Numbers: [66] 66,77 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 77:[17, 12], Operations: ['99-88=11', '23-11=12'] Exploring Operation: 17-12=5, Resulting Numbers: [5] 5,77 unequal: No Solution Exploring Operation: 17+12=29, Resulting Numbers: [29] 29,77 unequal: No Solution Exploring Operation: 1712=204, Resulting Numbers: [204] 204,77 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 77:[23, 6], Operations: ['99-88=11', '17-11=6'] Exploring Operation: 23-6=17, Resulting Numbers: [17] 17,77 unequal: No Solution Exploring Operation: 236=138, Resulting Numbers: [138] 138,77 unequal: No Solution Exploring Operation: 23+6=29, Resulting Numbers: [29] 29,77 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 77:[17, 34], Operations: ['99-88=11', '23+11=34'] Exploring Operation: 34/17=2, Resulting Numbers: [2] 2,77 unequal: No Solution Exploring Operation: 17+34=51, Resulting Numbers: [51] 51,77 unequal: No Solution Exploring Operation: 34-17=17, Resulting Numbers: [17] 17,77 unequal: No Solution Exploring Operation: 1734=578, Resulting Numbers: [578] 578,77 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 77:[11, 40], Operations: ['99-88=11', '23+17=40'] Exploring Operation: 40-11=29, Resulting Numbers: [29] 29,77 unequal: No Solution Exploring Operation: 11+40=51, Resulting Numbers: [51] 51,77 unequal: No Solution Exploring Operation: 1140=440, Resulting Numbers: [440] 440,77 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 77:[23, 88, 82], Operations: ['99-17=82'] Exploring Operation: 23+88=111, Resulting Numbers: [82, 111] Generated Node #0,3,0: 77:[82, 111] Operation: 23+88=111 Exploring Operation: 82-23=59, Resulting Numbers: [88, 59] Generated Node #0,3,1: 77:[88, 59] Operation: 82-23=59 Exploring Operation: 88-82=6, Resulting Numbers: [23, 6] Generated Node #0,3,2: 77:[23, 6] Operation: 88-82=6 Exploring Operation: 88-23=65, Resulting Numbers: [82, 65] Generated Node #0,3,3: 77:[82, 65] Operation: 88-23=65 Exploring Operation: 23+82=105, Resulting Numbers: [88, 105] Generated Node #0,3,4: 77:[88, 105] Operation: 23+82=105 Moving to Node #0,0 Current State: 77:[88, 99, 6], Operations: ['23-17=6'] Exploring Operation: 88-6=82, Resulting Numbers: [99, 82] Generated Node #0,0,0: 77:[99, 82] Operation: 88-6=82 Exploring Operation: 99-6=93, Resulting Numbers: [88, 93] Generated Node #0,0,1: 77:[88, 93] Operation: 99-6=93 Exploring Operation: 99+6=105, Resulting Numbers: [88, 105] Generated Node #0,0,2: 77:[88, 105] Operation: 99+6=105 Exploring Operation: 99-88=11, Resulting Numbers: [6, 11] Generated Node #0,0,3: 77:[6, 11] Operation: 99-88=11 Exploring Operation: 88+6=94, Resulting Numbers: [99, 94] Generated Node #0,0,4: 77:[99, 94] Operation: 88+6=94 Moving to Node #0,2 Current State: 77:[99, 17, 65], Operations: ['88-23=65'] Exploring Operation: 17+65=82, Resulting Numbers: [99, 82] Generated Node #0,2,0: 77:[99, 82] Operation: 17+65=82 Exploring Operation: 65-17=48, Resulting Numbers: [99, 48] Generated Node #0,2,1: 77:[99, 48] Operation: 65-17=48 Exploring Operation: 99+17=116, Resulting Numbers: [65, 116] Generated Node #0,2,2: 77:[65, 116] Operation: 99+17=116 Exploring Operation: 99-65=34, Resulting Numbers: [17, 34] Generated Node #0,2,3: 77:[17, 34] Operation: 99-65=34 Exploring Operation: 99-17=82, Resulting Numbers: [65, 82] Generated Node #0,2,4: 77:[65, 82] Operation: 99-17=82 Moving to Node #0,0,3 Current State: 77:[6, 11], Operations: ['23-17=6', '99-88=11'] Exploring Operation: 611=66, Resulting Numbers: [66] 66,77 unequal: No Solution Exploring Operation: 6+11=17, Resulting Numbers: [17] 17,77 unequal: No Solution Exploring Operation: 11-6=5, Resulting Numbers: [5] 5,77 unequal: No Solution Moving to Node #0,1,0 Current State: 77:[17, 12], Operations: ['99-23=76', '88-76=12'] Exploring Operation: 17-12=5, Resulting Numbers: [5] 5,77 unequal: No Solution Exploring Operation: 17+12=29, Resulting Numbers: [29] 29,77 unequal: No Solution Exploring Operation: 1712=204, Resulting Numbers: [204] 204,77 unequal: No Solution Moving to Node #0,1,1 Current State: 77:[76, 71], Operations: ['99-23=76', '88-17=71'] Exploring Operation: 76+71=147, Resulting Numbers: [147] 147,77 unequal: No Solution Exploring Operation: 7671=5396, Resulting Numbers: [5396] 5396,77 unequal: No Solution Exploring Operation: 76-71=5, Resulting Numbers: [5] 5,77 unequal: No Solution Moving to Node #0,3,2 Current State: 77:[23, 6], Operations: ['99-17=82', '88-82=6'] Exploring Operation: 23-6=17, Resulting Numbers: [17] 17,77 unequal: No Solution Exploring Operation: 23+6=29, Resulting Numbers: [29] 29,77 unequal: No Solution Exploring Operation: 236=138, Resulting Numbers: [138] 138,77 unequal: No Solution Moving to Node #0,3,3 Current State: 77:[82, 65], Operations: ['99-17=82', '88-23=65'] Exploring Operation: 82-65=17, Resulting Numbers: [17] 17,77 unequal: No Solution Exploring Operation: 8265=5330, Resulting Numbers: [5330] 5330,77 unequal: No Solution Exploring Operation: 82+65=147, Resulting Numbers: [147] 147,77 unequal: No Solution Moving to Node #0,2,4 Current State: 77:[65, 82], Operations: ['88-23=65', '99-17=82'] Exploring Operation: 6582=5330, Resulting Numbers: [5330] 5330,77 unequal: No Solution Exploring Operation: 82-65=17, Resulting Numbers: [17] 17,77 unequal: No Solution Exploring Operation: 65+82=147, Resulting Numbers: [147] 147,77 unequal: No Solution Moving to Node #0,1,3 Current State: 77:[88, 93], Operations: ['99-23=76', '17+76=93'] Exploring Operation: 88+93=181, Resulting Numbers: [181] 181,77 unequal: No Solution Exploring Operation: 8893=8184, Resulting Numbers: [8184] 8184,77 unequal: No Solution Exploring Operation: 93-88=5, Resulting Numbers: [5] 5,77 unequal: No Solution Moving to Node #0,0,1 Current State: 77:[88, 93], Operations: ['23-17=6', '99-6=93'] Exploring Operation: 8893=8184, Resulting Numbers: [8184] 8184,77 unequal: No Solution Exploring Operation: 93-88=5, Resulting Numbers: [5] 5,77 unequal: No Solution Exploring Operation: 88+93=181, Resulting Numbers: [181] 181,77 unequal: No Solution Moving to Node #0,0,0 Current State: 77:[99, 82], Operations: ['23-17=6', '88-6=82'] Exploring Operation: 99-82=17, Resulting Numbers: [17] 17,77 unequal: No Solution Exploring Operation: 99+82=181, Resulting Numbers: [181] 181,77 unequal: No Solution Exploring Operation: 9982=8118, Resulting Numbers: [8118] 8118,77 unequal: No Solution Moving to Node #0,2,0 Current State: 77:[99, 82], Operations: ['88-23=65', '17+65=82'] Exploring Operation: 99+82=181, Resulting Numbers: [181] 181,77 unequal: No Solution Exploring Operation: 99-82=17, Resulting Numbers: [17] 17,77 unequal: No Solution Exploring Operation: 9982=8118, Resulting Numbers: [8118] 8118,77 unequal: No Solution Moving to Node #0,1,4 Current State: 77:[76, 105], Operations: ['99-23=76', '88+17=105'] Exploring Operation: 76105=7980, Resulting Numbers: [7980] 7980,77 unequal: No Solution Exploring Operation: 76+105=181, Resulting Numbers: [181] 181,77 unequal: No Solution Exploring Operation: 105-76=29, Resulting Numbers: [29] 29,77 unequal: No Solution Moving to Node #0,2,3 Current State: 77:[17, 34], Operations: ['88-23=65', '99-65=34'] Exploring Operation: 17+34=51, Resulting Numbers: [51] 51,77 unequal: No Solution Exploring Operation: 34-17=17, Resulting Numbers: [17] 17,77 unequal: No Solution Exploring Operation: 1734=578, Resulting Numbers: [578] 578,77 unequal: No Solution Exploring Operation: 34/17=2, Resulting Numbers: [2] 2,77 unequal: No Solution Moving to Node #0,3,1 Current State: 77:[88, 59], Operations: ['99-17=82', '82-23=59'] Exploring Operation: 8859=5192, Resulting Numbers: [5192] 5192,77 unequal: No Solution Exploring Operation: 88-59=29, Resulting Numbers: [29] 29,77 unequal: No Solution Exploring Operation: 88+59=147, Resulting Numbers: [147] 147,77 unequal: No Solution Moving to Node #0,1,2 Current State: 77:[88, 59], Operations: ['99-23=76', '76-17=59'] Exploring Operation: 88-59=29, Resulting Numbers: [29] 29,77 unequal: No Solution Exploring Operation: 88+59=147, Resulting Numbers: [147] 147,77 unequal: No Solution Exploring Operation: 8859=5192, Resulting Numbers: [5192] 5192,77 unequal: No Solution Moving to Node #0,0,4 Current State: 77:[99, 94], Operations: ['23-17=6', '88+6=94'] Exploring Operation: 9994=9306, Resulting Numbers: [9306] 9306,77 unequal: No Solution Exploring Operation: 99-94=5, Resulting Numbers: [5] 5,77 unequal: No Solution Exploring Operation: 99+94=193, Resulting Numbers: [193] 193,77 unequal: No Solution Moving to Node #0,3,0 Current State: 77:[82, 111], Operations: ['99-17=82', '23+88=111'] Exploring Operation: 82+111=193, Resulting Numbers: [193] 193,77 unequal: No Solution Exploring Operation: 82111=9102, Resulting Numbers: [9102] 9102,77 unequal: No Solution Exploring Operation: 111-82=29, Resulting Numbers: [29] 29,77 unequal: No Solution Moving to Node #0,3,4 Current State: 77:[88, 105], Operations: ['99-17=82', '23+82=105'] Exploring Operation: 105-88=17, Resulting Numbers: [17] 17,77 unequal: No Solution Exploring Operation: 88+105=193, Resulting Numbers: [193] 193,77 unequal: No Solution Exploring Operation: 88105=9240, Resulting Numbers: [9240] 9240,77 unequal: No Solution Moving to Node #0,0,2 Current State: 77:[88, 105], Operations: ['23-17=6', '99+6=105'] Exploring Operation: 88+105=193, Resulting Numbers: [193] 193,77 unequal: No Solution Exploring Operation: 88105=9240, Resulting Numbers: [9240] 9240,77 unequal: No Solution Exploring Operation: 105-88=17, Resulting Numbers: [17] 17,77 unequal: No Solution Moving to Node #0,2,2 Current State: 77:[65, 116], Operations: ['88-23=65', '99+17=116'] Exploring Operation: 65116=7540, Resulting Numbers: [7540] 7540,77 unequal: No Solution Exploring Operation: 116-65=51, Resulting Numbers: [51] 51,77 unequal: No Solution Exploring Operation: 65+116=181, Resulting Numbers: [181] 181,77 unequal: No Solution Moving to Node #0,2,1 Current State: 77:[99, 48], Operations: ['88-23=65', '65-17=48'] Exploring Operation: 99*48=4752, Resulting Numbers: [4752] 4752,77 unequal: No Solution Exploring Operation: 99-48=51, Resulting Numbers: [51] 51,77 unequal: No Solution Exploring Operation: 99+48=147, Resulting Numbers: [147] 147,77 unequal: No Solution No solution found.	0	hs_5	mult_heuristic
[ 8, 10, 2, 89 ]	17	[ "2*89=178", "178-8=170", "170/10=17" ]	Current State: 17:[8, 10, 2, 89], Operations: [] Exploring Operation: 289=178, Resulting Numbers: [8, 10, 178] Generated Node #2: [8, 10, 178] from Operation: 289=178 Current State: 17:[8, 10, 178], Operations: ['289=178'] Exploring Operation: 178-8=170, Resulting Numbers: [10, 170] Generated Node #3: [10, 170] from Operation: 178-8=170 Current State: 17:[10, 170], Operations: ['289=178', '178-8=170'] Exploring Operation: 170/10=17, Resulting Numbers: [17] 17,17 equal: Goal Reached	4	Current State: 17:[8, 10, 2, 89], Operations: [] Exploring Operation: 82=16, Resulting Numbers: [10, 89, 16] Generated Node #0,0: 17:[10, 89, 16] Operation: 82=16 Start Sub Search at level 1: Moving to Node #0,0 Current State: 17:[10, 89, 16], Operations: ['82=16'] Exploring Operation: 89-10=79, Resulting Numbers: [16, 79] Generated Node #0,0,0: 17:[16, 79] Operation: 89-10=79 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 17:[16, 79], Operations: ['82=16', '89-10=79'] Exploring Operation: 79-16=63, Resulting Numbers: [63] 63,17 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	mult_heuristic
[ 70, 35, 99, 88 ]	22	[ "70/35=2", "99-88=11", "2*11=22" ]	Current State: 22:[70, 35, 99, 88], Operations: [] Exploring Operation: 70/35=2, Resulting Numbers: [99, 88, 2] Generated Node #2: [99, 88, 2] from Operation: 70/35=2 Current State: 22:[99, 88, 2], Operations: ['70/35=2'] Exploring Operation: 99-88=11, Resulting Numbers: [2, 11] Generated Node #3: [2, 11] from Operation: 99-88=11 Current State: 22:[2, 11], Operations: ['70/35=2', '99-88=11'] Exploring Operation: 2*11=22, Resulting Numbers: [22] 22,22 equal: Goal Reached	4	Current State: 22:[70, 35, 99, 88], Operations: [] Exploring Operation: 70/35=2, Resulting Numbers: [99, 88, 2] Generated Node #0,0: 22:[99, 88, 2] Operation: 70/35=2 Exploring Operation: 99-88=11, Resulting Numbers: [70, 35, 11] Generated Node #0,1: 22:[70, 35, 11] Operation: 99-88=11 Exploring Operation: 88-70=18, Resulting Numbers: [35, 99, 18] Generated Node #0,2: 22:[35, 99, 18] Operation: 88-70=18 Exploring Operation: 99-70=29, Resulting Numbers: [35, 88, 29] Generated Node #0,3: 22:[35, 88, 29] Operation: 99-70=29 Moving to Node #0,1 Current State: 22:[70, 35, 11], Operations: ['99-88=11'] Exploring Operation: 35-11=24, Resulting Numbers: [70, 24] Generated Node #0,1,0: 22:[70, 24] Operation: 35-11=24 Exploring Operation: 70-11=59, Resulting Numbers: [35, 59] Generated Node #0,1,1: 22:[35, 59] Operation: 70-11=59 Exploring Operation: 70/35=2, Resulting Numbers: [11, 2] Generated Node #0,1,2: 22:[11, 2] Operation: 70/35=2 Exploring Operation: 70-35=35, Resulting Numbers: [11, 35] Generated Node #0,1,3: 22:[11, 35] Operation: 70-35=35 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 22:[11, 2], Operations: ['99-88=11', '70/35=2'] Exploring Operation: 11+2=13, Resulting Numbers: [13] 13,22 unequal: No Solution Exploring Operation: 11-2=9, Resulting Numbers: [9] 9,22 unequal: No Solution Exploring Operation: 112=22, Resulting Numbers: [22] 22,22 equal: Goal Reached Moving to Node #0 Current State: 22:[70, 35, 99, 88], Operations: [] Exploring Operation: 99-88=11, Resulting Numbers: [70, 35, 11] Generated Node #0,1: 22:[70, 35, 11] Operation: 99-88=11 Moving to Node #0,1 Current State: 22:[70, 35, 11], Operations: ['99-88=11'] Exploring Operation: 70/35=2, Resulting Numbers: [11, 2] Generated Node #0,1,2: 22:[11, 2] Operation: 70/35=2 Moving to Node #0,1,2 Current State: 22:[11, 2], Operations: ['99-88=11', '70/35=2'] Exploring Operation: 112=22, Resulting Numbers: [22] 22,22 equal: Goal Reached Exit Sub Search at level 1	0.986979	hs_4	mult_heuristic
[ 47, 99, 99, 86 ]	47	[ "99-99=0", "86*0=0", "47+0=47" ]	Current State: 47:[47, 99, 99, 86], Operations: [] Exploring Operation: 99-99=0, Resulting Numbers: [47, 86, 0] Generated Node #2: [47, 86, 0] from Operation: 99-99=0 Current State: 47:[47, 86, 0], Operations: ['99-99=0'] Exploring Operation: 860=0, Resulting Numbers: [47, 0] Generated Node #3: [47, 0] from Operation: 860=0 Current State: 47:[47, 0], Operations: ['99-99=0', '86*0=0'] Exploring Operation: 47+0=47, Resulting Numbers: [47] 47,47 equal: Goal Reached	4	Current State: 47:[47, 99, 99, 86], Operations: [] Exploring Operation: 99-86=13, Resulting Numbers: [47, 99, 13] Generated Node #0,0: 47:[47, 99, 13] Operation: 99-86=13 Exploring Operation: 99/99=1, Resulting Numbers: [47, 86, 1] Generated Node #0,1: 47:[47, 86, 1] Operation: 99/99=1 Exploring Operation: 99-99=0, Resulting Numbers: [47, 86, 0] Generated Node #0,2: 47:[47, 86, 0] Operation: 99-99=0 Exploring Operation: 99-86=13, Resulting Numbers: [47, 99, 13] Generated Node #0,3: 47:[47, 99, 13] Operation: 99-86=13 Start Sub Search at level 1: Moving to Node #0,1 Current State: 47:[47, 86, 1], Operations: ['99/99=1'] Exploring Operation: 471=47, Resulting Numbers: [86, 47] Generated Node #0,1,0: 47:[86, 47] Operation: 471=47 Exploring Operation: 861=86, Resulting Numbers: [47, 86] Generated Node #0,1,1: 47:[47, 86] Operation: 861=86 Exploring Operation: 47/1=47, Resulting Numbers: [86, 47] Generated Node #0,1,2: 47:[86, 47] Operation: 47/1=47 Exploring Operation: 86-1=85, Resulting Numbers: [47, 85] Generated Node #0,1,3: 47:[47, 85] Operation: 86-1=85 Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 47:[47, 85], Operations: ['99/99=1', '86-1=85'] Exploring Operation: 4785=3995, Resulting Numbers: [3995] 3995,47 unequal: No Solution Exploring Operation: 47+85=132, Resulting Numbers: [132] 132,47 unequal: No Solution Exploring Operation: 85-47=38, Resulting Numbers: [38] 38,47 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 47:[86, 47], Operations: ['99/99=1', '471=47'] Exploring Operation: 8647=4042, Resulting Numbers: [4042] 4042,47 unequal: No Solution Exploring Operation: 86-47=39, Resulting Numbers: [39] 39,47 unequal: No Solution Exploring Operation: 86+47=133, Resulting Numbers: [133] 133,47 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 47:[47, 86], Operations: ['99/99=1', '861=86'] Exploring Operation: 86-47=39, Resulting Numbers: [39] 39,47 unequal: No Solution Exploring Operation: 47+86=133, Resulting Numbers: [133] 133,47 unequal: No Solution Exploring Operation: 4786=4042, Resulting Numbers: [4042] 4042,47 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 47:[86, 47], Operations: ['99/99=1', '47/1=47'] Exploring Operation: 8647=4042, Resulting Numbers: [4042] 4042,47 unequal: No Solution Exploring Operation: 86-47=39, Resulting Numbers: [39] 39,47 unequal: No Solution Exploring Operation: 86+47=133, Resulting Numbers: [133] 133,47 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 47:[47, 99, 13], Operations: ['99-86=13'] Exploring Operation: 47-13=34, Resulting Numbers: [99, 34] Generated Node #0,0,0: 47:[99, 34] Operation: 47-13=34 Exploring Operation: 99-47=52, Resulting Numbers: [13, 52] Generated Node #0,0,1: 47:[13, 52] Operation: 99-47=52 Exploring Operation: 47+13=60, Resulting Numbers: [99, 60] Generated Node #0,0,2: 47:[99, 60] Operation: 47+13=60 Exploring Operation: 99-13=86, Resulting Numbers: [47, 86] Generated Node #0,0,3: 47:[47, 86] Operation: 99-13=86 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 47:[13, 52], Operations: ['99-86=13', '99-47=52'] Exploring Operation: 13+52=65, Resulting Numbers: [65] 65,47 unequal: No Solution Exploring Operation: 52-13=39, Resulting Numbers: [39] 39,47 unequal: No Solution Exploring Operation: 1352=676, Resulting Numbers: [676] 676,47 unequal: No Solution Exploring Operation: 52/13=4, Resulting Numbers: [4] 4,47 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 47:[47, 86], Operations: ['99-86=13', '99-13=86'] Exploring Operation: 86-47=39, Resulting Numbers: [39] 39,47 unequal: No Solution Exploring Operation: 4786=4042, Resulting Numbers: [4042] 4042,47 unequal: No Solution Exploring Operation: 47+86=133, Resulting Numbers: [133] 133,47 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 47:[99, 34], Operations: ['99-86=13', '47-13=34'] Exploring Operation: 99+34=133, Resulting Numbers: [133] 133,47 unequal: No Solution Exploring Operation: 99-34=65, Resulting Numbers: [65] 65,47 unequal: No Solution Exploring Operation: 9934=3366, Resulting Numbers: [3366] 3366,47 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 47:[99, 60], Operations: ['99-86=13', '47+13=60'] Exploring Operation: 99-60=39, Resulting Numbers: [39] 39,47 unequal: No Solution Exploring Operation: 9960=5940, Resulting Numbers: [5940] 5940,47 unequal: No Solution Exploring Operation: 99+60=159, Resulting Numbers: [159] 159,47 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 47:[47, 86, 0], Operations: ['99-99=0'] Exploring Operation: 86-0=86, Resulting Numbers: [47, 86] Generated Node #0,2,0: 47:[47, 86] Operation: 86-0=86 Exploring Operation: 47-0=47, Resulting Numbers: [86, 47] Generated Node #0,2,1: 47:[86, 47] Operation: 47-0=47 Exploring Operation: 47+0=47, Resulting Numbers: [86, 47] Generated Node #0,2,2: 47:[86, 47] Operation: 47+0=47 Exploring Operation: 86+0=86, Resulting Numbers: [47, 86] Generated Node #0,2,3: 47:[47, 86] Operation: 86+0=86 Moving to Node #0,2,0 Current State: 47:[47, 86], Operations: ['99-99=0', '86-0=86'] Exploring Operation: 86-47=39, Resulting Numbers: [39] 39,47 unequal: No Solution Exploring Operation: 4786=4042, Resulting Numbers: [4042] 4042,47 unequal: No Solution Exploring Operation: 47+86=133, Resulting Numbers: [133] 133,47 unequal: No Solution Moving to Node #0,2,2 Current State: 47:[86, 47], Operations: ['99-99=0', '47+0=47'] Exploring Operation: 86+47=133, Resulting Numbers: [133] 133,47 unequal: No Solution Exploring Operation: 86-47=39, Resulting Numbers: [39] 39,47 unequal: No Solution Exploring Operation: 8647=4042, Resulting Numbers: [4042] 4042,47 unequal: No Solution Moving to Node #0,2,1 Current State: 47:[86, 47], Operations: ['99-99=0', '47-0=47'] Exploring Operation: 86+47=133, Resulting Numbers: [133] 133,47 unequal: No Solution Exploring Operation: 86-47=39, Resulting Numbers: [39] 39,47 unequal: No Solution Exploring Operation: 8647=4042, Resulting Numbers: [4042] 4042,47 unequal: No Solution Moving to Node #0,2,3 Current State: 47:[47, 86], Operations: ['99-99=0', '86+0=86'] Exploring Operation: 47+86=133, Resulting Numbers: [133] 133,47 unequal: No Solution Exploring Operation: 4786=4042, Resulting Numbers: [4042] 4042,47 unequal: No Solution Exploring Operation: 86-47=39, Resulting Numbers: [39] 39,47 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 47:[47, 99, 13], Operations: ['99-86=13'] Exploring Operation: 99-47=52, Resulting Numbers: [13, 52] Generated Node #0,3,0: 47:[13, 52] Operation: 99-47=52 Exploring Operation: 99-13=86, Resulting Numbers: [47, 86] Generated Node #0,3,1: 47:[47, 86] Operation: 99-13=86 Exploring Operation: 47+13=60, Resulting Numbers: [99, 60] Generated Node #0,3,2: 47:[99, 60] Operation: 47+13=60 Exploring Operation: 47-13=34, Resulting Numbers: [99, 34] Generated Node #0,3,3: 47:[99, 34] Operation: 47-13=34 Moving to Node #0,3,0 Current State: 47:[13, 52], Operations: ['99-86=13', '99-47=52'] Exploring Operation: 52/13=4, Resulting Numbers: [4] 4,47 unequal: No Solution Exploring Operation: 52-13=39, Resulting Numbers: [39] 39,47 unequal: No Solution Exploring Operation: 1352=676, Resulting Numbers: [676] 676,47 unequal: No Solution Exploring Operation: 13+52=65, Resulting Numbers: [65] 65,47 unequal: No Solution Moving to Node #0,3,1 Current State: 47:[47, 86], Operations: ['99-86=13', '99-13=86'] Exploring Operation: 47+86=133, Resulting Numbers: [133] 133,47 unequal: No Solution Exploring Operation: 4786=4042, Resulting Numbers: [4042] 4042,47 unequal: No Solution Exploring Operation: 86-47=39, Resulting Numbers: [39] 39,47 unequal: No Solution Moving to Node #0,3,3 Current State: 47:[99, 34], Operations: ['99-86=13', '47-13=34'] Exploring Operation: 99-34=65, Resulting Numbers: [65] 65,47 unequal: No Solution Exploring Operation: 99+34=133, Resulting Numbers: [133] 133,47 unequal: No Solution Exploring Operation: 9934=3366, Resulting Numbers: [3366] 3366,47 unequal: No Solution Moving to Node #0,3,2 Current State: 47:[99, 60], Operations: ['99-86=13', '47+13=60'] Exploring Operation: 99+60=159, Resulting Numbers: [159] 159,47 unequal: No Solution Exploring Operation: 9960=5940, Resulting Numbers: [5940] 5940,47 unequal: No Solution Exploring Operation: 99-60=39, Resulting Numbers: [39] 39,47 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_4	sum_heuristic
[ 60, 98, 9, 82 ]	53	[ "98-60=38", "9+82=91", "91-38=53" ]	Current State: 53:[60, 98, 9, 82], Operations: [] Exploring Operation: 98-60=38, Resulting Numbers: [9, 82, 38] Generated Node #2: [9, 82, 38] from Operation: 98-60=38 Current State: 53:[9, 82, 38], Operations: ['98-60=38'] Exploring Operation: 9+82=91, Resulting Numbers: [38, 91] Generated Node #3: [38, 91] from Operation: 9+82=91 Current State: 53:[38, 91], Operations: ['98-60=38', '9+82=91'] Exploring Operation: 91-38=53, Resulting Numbers: [53] 53,53 equal: Goal Reached	4	Current State: 53:[60, 98, 9, 82], Operations: [] Exploring Operation: 98-9=89, Resulting Numbers: [60, 82, 89] Generated Node #0,0: 53:[60, 82, 89] Operation: 98-9=89 Exploring Operation: 98-60=38, Resulting Numbers: [9, 82, 38] Generated Node #0,1: 53:[9, 82, 38] Operation: 98-60=38 Exploring Operation: 82-9=73, Resulting Numbers: [60, 98, 73] Generated Node #0,2: 53:[60, 98, 73] Operation: 82-9=73 Exploring Operation: 60-9=51, Resulting Numbers: [98, 82, 51] Generated Node #0,3: 53:[98, 82, 51] Operation: 60-9=51 Start Sub Search at level 1: Moving to Node #0,0 Current State: 53:[60, 82, 89], Operations: ['98-9=89'] Exploring Operation: 89-60=29, Resulting Numbers: [82, 29] Generated Node #0,0,0: 53:[82, 29] Operation: 89-60=29 Exploring Operation: 82-60=22, Resulting Numbers: [89, 22] Generated Node #0,0,1: 53:[89, 22] Operation: 82-60=22 Exploring Operation: 89-82=7, Resulting Numbers: [60, 7] Generated Node #0,0,2: 53:[60, 7] Operation: 89-82=7 Exploring Operation: 60+82=142, Resulting Numbers: [89, 142] Generated Node #0,0,3: 53:[89, 142] Operation: 60+82=142 Moving to Node #0,0,0 Current State: 53:[82, 29], Operations: ['98-9=89', '89-60=29'] Exploring Operation: 82-29=53, Resulting Numbers: [53] 53,53 equal: Goal Reached Moving to Node #0 Current State: 53:[60, 98, 9, 82], Operations: [] Exploring Operation: 98-9=89, Resulting Numbers: [60, 82, 89] Generated Node #0,0: 53:[60, 82, 89] Operation: 98-9=89 Moving to Node #0,0 Current State: 53:[60, 82, 89], Operations: ['98-9=89'] Exploring Operation: 89-60=29, Resulting Numbers: [82, 29] Generated Node #0,0,0: 53:[82, 29] Operation: 89-60=29 Moving to Node #0,0,0 Current State: 53:[82, 29], Operations: ['98-9=89', '89-60=29'] Exploring Operation: 82-29=53, Resulting Numbers: [53] 53,53 equal: Goal Reached Exit Sub Search at level 1	0.988715	hs_4	sum_heuristic
[ 24, 12, 4, 52 ]	70	[ "24/4=6", "12+52=64", "6+64=70" ]	Current State: 70:[24, 12, 4, 52], Operations: [] Exploring Operation: 24/4=6, Resulting Numbers: [12, 52, 6] Generated Node #2: [12, 52, 6] from Operation: 24/4=6 Current State: 70:[12, 52, 6], Operations: ['24/4=6'] Exploring Operation: 12+52=64, Resulting Numbers: [6, 64] Generated Node #3: [6, 64] from Operation: 12+52=64 Current State: 70:[6, 64], Operations: ['24/4=6', '12+52=64'] Exploring Operation: 6+64=70, Resulting Numbers: [70] 70,70 equal: Goal Reached	4	Current State: 70:[24, 12, 4, 52], Operations: [] Exploring Operation: 52-24=28, Resulting Numbers: [12, 4, 28] Generated Node #0,0: 70:[12, 4, 28] Operation: 52-24=28 Exploring Operation: 52/4=13, Resulting Numbers: [24, 12, 13] Generated Node #0,1: 70:[24, 12, 13] Operation: 52/4=13 Exploring Operation: 24+52=76, Resulting Numbers: [12, 4, 76] Generated Node #0,2: 70:[12, 4, 76] Operation: 24+52=76 Start Sub Search at level 1: Moving to Node #0,2 Current State: 70:[12, 4, 76], Operations: ['24+52=76'] Exploring Operation: 76-4=72, Resulting Numbers: [12, 72] Generated Node #0,2,0: 70:[12, 72] Operation: 76-4=72 Exploring Operation: 12-4=8, Resulting Numbers: [76, 8] Generated Node #0,2,1: 70:[76, 8] Operation: 12-4=8 Exploring Operation: 12/4=3, Resulting Numbers: [76, 3] Generated Node #0,2,2: 70:[76, 3] Operation: 12/4=3 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 70:[12, 72], Operations: ['24+52=76', '76-4=72'] Exploring Operation: 72/12=6, Resulting Numbers: [6] 6,70 unequal: No Solution Exploring Operation: 12+72=84, Resulting Numbers: [84] 84,70 unequal: No Solution Exploring Operation: 72-12=60, Resulting Numbers: [60] 60,70 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 70:[76, 8], Operations: ['24+52=76', '12-4=8'] Exploring Operation: 76+8=84, Resulting Numbers: [84] 84,70 unequal: No Solution Exploring Operation: 76-8=68, Resulting Numbers: [68] 68,70 unequal: No Solution Exploring Operation: 768=608, Resulting Numbers: [608] 608,70 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 70:[76, 3], Operations: ['24+52=76', '12/4=3'] Exploring Operation: 763=228, Resulting Numbers: [228] 228,70 unequal: No Solution Exploring Operation: 76+3=79, Resulting Numbers: [79] 79,70 unequal: No Solution Exploring Operation: 76-3=73, Resulting Numbers: [73] 73,70 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 70:[12, 4, 28], Operations: ['52-24=28'] Exploring Operation: 4+28=32, Resulting Numbers: [12, 32] Generated Node #0,0,0: 70:[12, 32] Operation: 4+28=32 Exploring Operation: 28-12=16, Resulting Numbers: [4, 16] Generated Node #0,0,1: 70:[4, 16] Operation: 28-12=16 Exploring Operation: 28/4=7, Resulting Numbers: [12, 7] Generated Node #0,0,2: 70:[12, 7] Operation: 28/4=7 Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 70:[12, 7], Operations: ['52-24=28', '28/4=7'] Exploring Operation: 12-7=5, Resulting Numbers: [5] 5,70 unequal: No Solution Exploring Operation: 12+7=19, Resulting Numbers: [19] 19,70 unequal: No Solution Exploring Operation: 127=84, Resulting Numbers: [84] 84,70 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 70:[4, 16], Operations: ['52-24=28', '28-12=16'] Exploring Operation: 16-4=12, Resulting Numbers: [12] 12,70 unequal: No Solution Exploring Operation: 4+16=20, Resulting Numbers: [20] 20,70 unequal: No Solution Exploring Operation: 16/4=4, Resulting Numbers: [4] 4,70 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 70:[12, 32], Operations: ['52-24=28', '4+28=32'] Exploring Operation: 32-12=20, Resulting Numbers: [20] 20,70 unequal: No Solution Exploring Operation: 1232=384, Resulting Numbers: [384] 384,70 unequal: No Solution Exploring Operation: 12+32=44, Resulting Numbers: [44] 44,70 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 70:[24, 12, 13], Operations: ['52/4=13'] Exploring Operation: 24/12=2, Resulting Numbers: [13, 2] Generated Node #0,1,0: 70:[13, 2] Operation: 24/12=2 Exploring Operation: 24-12=12, Resulting Numbers: [13, 12] Generated Node #0,1,1: 70:[13, 12] Operation: 24-12=12 Exploring Operation: 24+12=36, Resulting Numbers: [13, 36] Generated Node #0,1,2: 70:[13, 36] Operation: 24+12=36 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 70:[13, 2], Operations: ['52/4=13', '24/12=2'] Exploring Operation: 132=26, Resulting Numbers: [26] 26,70 unequal: No Solution Exploring Operation: 13+2=15, Resulting Numbers: [15] 15,70 unequal: No Solution Exploring Operation: 13-2=11, Resulting Numbers: [11] 11,70 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 70:[13, 36], Operations: ['52/4=13', '24+12=36'] Exploring Operation: 13+36=49, Resulting Numbers: [49] 49,70 unequal: No Solution Exploring Operation: 36-13=23, Resulting Numbers: [23] 23,70 unequal: No Solution Exploring Operation: 1336=468, Resulting Numbers: [468] 468,70 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 70:[13, 12], Operations: ['52/4=13', '24-12=12'] Exploring Operation: 13-12=1, Resulting Numbers: [1] 1,70 unequal: No Solution Exploring Operation: 13*12=156, Resulting Numbers: [156] 156,70 unequal: No Solution Exploring Operation: 13+12=25, Resulting Numbers: [25] 25,70 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_3	sum_heuristic
[ 77, 87, 50, 44 ]	22	[ "7750=3850", "8744=3828", "3850-3828=22" ]	Current State: 22:[77, 87, 50, 44], Operations: [] Exploring Operation: 7750=3850, Resulting Numbers: [87, 44, 3850] Generated Node #2: [87, 44, 3850] from Operation: 7750=3850 Current State: 22:[87, 44, 3850], Operations: ['7750=3850'] Exploring Operation: 8744=3828, Resulting Numbers: [3850, 3828] Generated Node #3: [3850, 3828] from Operation: 8744=3828 Current State: 22:[3850, 3828], Operations: ['7750=3850', '87*44=3828'] Exploring Operation: 3850-3828=22, Resulting Numbers: [22] 22,22 equal: Goal Reached	4	Current State: 22:[77, 87, 50, 44], Operations: [] Exploring Operation: 87-77=10, Resulting Numbers: [50, 44, 10] Generated Node #0,0: 22:[50, 44, 10] Operation: 87-77=10 Exploring Operation: 87-44=43, Resulting Numbers: [77, 50, 43] Generated Node #0,1: 22:[77, 50, 43] Operation: 87-44=43 Exploring Operation: 87-50=37, Resulting Numbers: [77, 44, 37] Generated Node #0,2: 22:[77, 44, 37] Operation: 87-50=37 Exploring Operation: 77-44=33, Resulting Numbers: [87, 50, 33] Generated Node #0,3: 22:[87, 50, 33] Operation: 77-44=33 Exploring Operation: 77-50=27, Resulting Numbers: [87, 44, 27] Generated Node #0,4: 22:[87, 44, 27] Operation: 77-50=27 Moving to Node #0,0 Current State: 22:[50, 44, 10], Operations: ['87-77=10'] Exploring Operation: 50/10=5, Resulting Numbers: [44, 5] Generated Node #0,0,0: 22:[44, 5] Operation: 50/10=5 Exploring Operation: 50+10=60, Resulting Numbers: [44, 60] Generated Node #0,0,1: 22:[44, 60] Operation: 50+10=60 Exploring Operation: 50-10=40, Resulting Numbers: [44, 40] Generated Node #0,0,2: 22:[44, 40] Operation: 50-10=40 Exploring Operation: 44-10=34, Resulting Numbers: [50, 34] Generated Node #0,0,3: 22:[50, 34] Operation: 44-10=34 Exploring Operation: 50-44=6, Resulting Numbers: [10, 6] Generated Node #0,0,4: 22:[10, 6] Operation: 50-44=6 Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 22:[10, 6], Operations: ['87-77=10', '50-44=6'] Exploring Operation: 106=60, Resulting Numbers: [60] 60,22 unequal: No Solution Exploring Operation: 10-6=4, Resulting Numbers: [4] 4,22 unequal: No Solution Exploring Operation: 10+6=16, Resulting Numbers: [16] 16,22 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 22:[44, 5], Operations: ['87-77=10', '50/10=5'] Exploring Operation: 445=220, Resulting Numbers: [220] 220,22 unequal: No Solution Exploring Operation: 44-5=39, Resulting Numbers: [39] 39,22 unequal: No Solution Exploring Operation: 44+5=49, Resulting Numbers: [49] 49,22 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 22:[44, 40], Operations: ['87-77=10', '50-10=40'] Exploring Operation: 4440=1760, Resulting Numbers: [1760] 1760,22 unequal: No Solution Exploring Operation: 44-40=4, Resulting Numbers: [4] 4,22 unequal: No Solution Exploring Operation: 44+40=84, Resulting Numbers: [84] 84,22 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 22:[50, 34], Operations: ['87-77=10', '44-10=34'] Exploring Operation: 50-34=16, Resulting Numbers: [16] 16,22 unequal: No Solution Exploring Operation: 50+34=84, Resulting Numbers: [84] 84,22 unequal: No Solution Exploring Operation: 5034=1700, Resulting Numbers: [1700] 1700,22 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 22:[44, 60], Operations: ['87-77=10', '50+10=60'] Exploring Operation: 44+60=104, Resulting Numbers: [104] 104,22 unequal: No Solution Exploring Operation: 60-44=16, Resulting Numbers: [16] 16,22 unequal: No Solution Exploring Operation: 4460=2640, Resulting Numbers: [2640] 2640,22 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,4 Current State: 22:[87, 44, 27], Operations: ['77-50=27'] Exploring Operation: 87+27=114, Resulting Numbers: [44, 114] Generated Node #0,4,0: 22:[44, 114] Operation: 87+27=114 Exploring Operation: 87-27=60, Resulting Numbers: [44, 60] Generated Node #0,4,1: 22:[44, 60] Operation: 87-27=60 Exploring Operation: 44-27=17, Resulting Numbers: [87, 17] Generated Node #0,4,2: 22:[87, 17] Operation: 44-27=17 Exploring Operation: 87+44=131, Resulting Numbers: [27, 131] Generated Node #0,4,3: 22:[27, 131] Operation: 87+44=131 Exploring Operation: 87-44=43, Resulting Numbers: [27, 43] Generated Node #0,4,4: 22:[27, 43] Operation: 87-44=43 Moving to Node #0,2 Current State: 22:[77, 44, 37], Operations: ['87-50=37'] Exploring Operation: 77+44=121, Resulting Numbers: [37, 121] Generated Node #0,2,0: 22:[37, 121] Operation: 77+44=121 Exploring Operation: 77-44=33, Resulting Numbers: [37, 33] Generated Node #0,2,1: 22:[37, 33] Operation: 77-44=33 Exploring Operation: 44-37=7, Resulting Numbers: [77, 7] Generated Node #0,2,2: 22:[77, 7] Operation: 44-37=7 Exploring Operation: 77+37=114, Resulting Numbers: [44, 114] Generated Node #0,2,3: 22:[44, 114] Operation: 77+37=114 Exploring Operation: 77-37=40, Resulting Numbers: [44, 40] Generated Node #0,2,4: 22:[44, 40] Operation: 77-37=40 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 22:[37, 33], Operations: ['87-50=37', '77-44=33'] Exploring Operation: 37-33=4, Resulting Numbers: [4] 4,22 unequal: No Solution Exploring Operation: 37+33=70, Resulting Numbers: [70] 70,22 unequal: No Solution Exploring Operation: 3733=1221, Resulting Numbers: [1221] 1221,22 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 22:[44, 40], Operations: ['87-50=37', '77-37=40'] Exploring Operation: 44-40=4, Resulting Numbers: [4] 4,22 unequal: No Solution Exploring Operation: 44+40=84, Resulting Numbers: [84] 84,22 unequal: No Solution Exploring Operation: 4440=1760, Resulting Numbers: [1760] 1760,22 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 22:[77, 7], Operations: ['87-50=37', '44-37=7'] Exploring Operation: 777=539, Resulting Numbers: [539] 539,22 unequal: No Solution Exploring Operation: 77-7=70, Resulting Numbers: [70] 70,22 unequal: No Solution Exploring Operation: 77/7=11, Resulting Numbers: [11] 11,22 unequal: No Solution Exploring Operation: 77+7=84, Resulting Numbers: [84] 84,22 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 22:[37, 121], Operations: ['87-50=37', '77+44=121'] Exploring Operation: 37121=4477, Resulting Numbers: [4477] 4477,22 unequal: No Solution Exploring Operation: 121-37=84, Resulting Numbers: [84] 84,22 unequal: No Solution Exploring Operation: 37+121=158, Resulting Numbers: [158] 158,22 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 22:[44, 114], Operations: ['87-50=37', '77+37=114'] Exploring Operation: 114-44=70, Resulting Numbers: [70] 70,22 unequal: No Solution Exploring Operation: 44+114=158, Resulting Numbers: [158] 158,22 unequal: No Solution Exploring Operation: 44114=5016, Resulting Numbers: [5016] 5016,22 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 22:[77, 50, 43], Operations: ['87-44=43'] Exploring Operation: 77-43=34, Resulting Numbers: [50, 34] Generated Node #0,1,0: 22:[50, 34] Operation: 77-43=34 Exploring Operation: 50-43=7, Resulting Numbers: [77, 7] Generated Node #0,1,1: 22:[77, 7] Operation: 50-43=7 Exploring Operation: 77-50=27, Resulting Numbers: [43, 27] Generated Node #0,1,2: 22:[43, 27] Operation: 77-50=27 Exploring Operation: 77+50=127, Resulting Numbers: [43, 127] Generated Node #0,1,3: 22:[43, 127] Operation: 77+50=127 Exploring Operation: 77+43=120, Resulting Numbers: [50, 120] Generated Node #0,1,4: 22:[50, 120] Operation: 77+43=120 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 22:[43, 27], Operations: ['87-44=43', '77-50=27'] Exploring Operation: 4327=1161, Resulting Numbers: [1161] 1161,22 unequal: No Solution Exploring Operation: 43-27=16, Resulting Numbers: [16] 16,22 unequal: No Solution Exploring Operation: 43+27=70, Resulting Numbers: [70] 70,22 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 22:[50, 34], Operations: ['87-44=43', '77-43=34'] Exploring Operation: 50-34=16, Resulting Numbers: [16] 16,22 unequal: No Solution Exploring Operation: 50+34=84, Resulting Numbers: [84] 84,22 unequal: No Solution Exploring Operation: 5034=1700, Resulting Numbers: [1700] 1700,22 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 22:[77, 7], Operations: ['87-44=43', '50-43=7'] Exploring Operation: 77/7=11, Resulting Numbers: [11] 11,22 unequal: No Solution Exploring Operation: 77+7=84, Resulting Numbers: [84] 84,22 unequal: No Solution Exploring Operation: 777=539, Resulting Numbers: [539] 539,22 unequal: No Solution Exploring Operation: 77-7=70, Resulting Numbers: [70] 70,22 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 22:[43, 127], Operations: ['87-44=43', '77+50=127'] Exploring Operation: 127-43=84, Resulting Numbers: [84] 84,22 unequal: No Solution Exploring Operation: 43+127=170, Resulting Numbers: [170] 170,22 unequal: No Solution Exploring Operation: 43127=5461, Resulting Numbers: [5461] 5461,22 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 22:[50, 120], Operations: ['87-44=43', '77+43=120'] Exploring Operation: 50120=6000, Resulting Numbers: [6000] 6000,22 unequal: No Solution Exploring Operation: 120-50=70, Resulting Numbers: [70] 70,22 unequal: No Solution Exploring Operation: 50+120=170, Resulting Numbers: [170] 170,22 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 22:[87, 50, 33], Operations: ['77-44=33'] Exploring Operation: 87+33=120, Resulting Numbers: [50, 120] Generated Node #0,3,0: 22:[50, 120] Operation: 87+33=120 Exploring Operation: 87-50=37, Resulting Numbers: [33, 37] Generated Node #0,3,1: 22:[33, 37] Operation: 87-50=37 Exploring Operation: 87-33=54, Resulting Numbers: [50, 54] Generated Node #0,3,2: 22:[50, 54] Operation: 87-33=54 Exploring Operation: 50-33=17, Resulting Numbers: [87, 17] Generated Node #0,3,3: 22:[87, 17] Operation: 50-33=17 Exploring Operation: 87+50=137, Resulting Numbers: [33, 137] Generated Node #0,3,4: 22:[33, 137] Operation: 87+50=137 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 22:[33, 37], Operations: ['77-44=33', '87-50=37'] Exploring Operation: 37-33=4, Resulting Numbers: [4] 4,22 unequal: No Solution Exploring Operation: 33+37=70, Resulting Numbers: [70] 70,22 unequal: No Solution Exploring Operation: 3337=1221, Resulting Numbers: [1221] 1221,22 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 22:[50, 54], Operations: ['77-44=33', '87-33=54'] Exploring Operation: 50+54=104, Resulting Numbers: [104] 104,22 unequal: No Solution Exploring Operation: 5054=2700, Resulting Numbers: [2700] 2700,22 unequal: No Solution Exploring Operation: 54-50=4, Resulting Numbers: [4] 4,22 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 22:[87, 17], Operations: ['77-44=33', '50-33=17'] Exploring Operation: 8717=1479, Resulting Numbers: [1479] 1479,22 unequal: No Solution Exploring Operation: 87-17=70, Resulting Numbers: [70] 70,22 unequal: No Solution Exploring Operation: 87+17=104, Resulting Numbers: [104] 104,22 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 22:[50, 120], Operations: ['77-44=33', '87+33=120'] Exploring Operation: 50+120=170, Resulting Numbers: [170] 170,22 unequal: No Solution Exploring Operation: 50120=6000, Resulting Numbers: [6000] 6000,22 unequal: No Solution Exploring Operation: 120-50=70, Resulting Numbers: [70] 70,22 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 22:[33, 137], Operations: ['77-44=33', '87+50=137'] Exploring Operation: 137-33=104, Resulting Numbers: [104] 104,22 unequal: No Solution Exploring Operation: 33+137=170, Resulting Numbers: [170] 170,22 unequal: No Solution Exploring Operation: 33137=4521, Resulting Numbers: [4521] 4521,22 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,4,4 Current State: 22:[27, 43], Operations: ['77-50=27', '87-44=43'] Exploring Operation: 43-27=16, Resulting Numbers: [16] 16,22 unequal: No Solution Exploring Operation: 27+43=70, Resulting Numbers: [70] 70,22 unequal: No Solution Exploring Operation: 2743=1161, Resulting Numbers: [1161] 1161,22 unequal: No Solution Moving to Node #0,4,1 Current State: 22:[44, 60], Operations: ['77-50=27', '87-27=60'] Exploring Operation: 60-44=16, Resulting Numbers: [16] 16,22 unequal: No Solution Exploring Operation: 44+60=104, Resulting Numbers: [104] 104,22 unequal: No Solution Exploring Operation: 4460=2640, Resulting Numbers: [2640] 2640,22 unequal: No Solution Moving to Node #0,4,2 Current State: 22:[87, 17], Operations: ['77-50=27', '44-27=17'] Exploring Operation: 8717=1479, Resulting Numbers: [1479] 1479,22 unequal: No Solution Exploring Operation: 87+17=104, Resulting Numbers: [104] 104,22 unequal: No Solution Exploring Operation: 87-17=70, Resulting Numbers: [70] 70,22 unequal: No Solution Moving to Node #0,4,0 Current State: 22:[44, 114], Operations: ['77-50=27', '87+27=114'] Exploring Operation: 44114=5016, Resulting Numbers: [5016] 5016,22 unequal: No Solution Exploring Operation: 44+114=158, Resulting Numbers: [158] 158,22 unequal: No Solution Exploring Operation: 114-44=70, Resulting Numbers: [70] 70,22 unequal: No Solution Moving to Node #0,4,3 Current State: 22:[27, 131], Operations: ['77-50=27', '87+44=131'] Exploring Operation: 131-27=104, Resulting Numbers: [104] 104,22 unequal: No Solution Exploring Operation: 27+131=158, Resulting Numbers: [158] 158,22 unequal: No Solution Exploring Operation: 27*131=3537, Resulting Numbers: [3537] 3537,22 unequal: No Solution No solution found.	0	hs_5	mult_heuristic
[ 23, 74, 20, 25 ]	47	[ "25-23=2", "74+20=94", "94/2=47" ]	Current State: 47:[23, 74, 20, 25], Operations: [] Exploring Operation: 25-23=2, Resulting Numbers: [74, 20, 2] Generated Node #2: [74, 20, 2] from Operation: 25-23=2 Current State: 47:[74, 20, 2], Operations: ['25-23=2'] Exploring Operation: 74+20=94, Resulting Numbers: [2, 94] Generated Node #3: [2, 94] from Operation: 74+20=94 Current State: 47:[2, 94], Operations: ['25-23=2', '74+20=94'] Exploring Operation: 94/2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached	4	Current State: 47:[23, 74, 20, 25], Operations: [] Exploring Operation: 23+20=43, Resulting Numbers: [74, 25, 43] Generated Node #0,0: 47:[74, 25, 43] Operation: 23+20=43 Exploring Operation: 74-20=54, Resulting Numbers: [23, 25, 54] Generated Node #0,1: 47:[23, 25, 54] Operation: 74-20=54 Exploring Operation: 74-23=51, Resulting Numbers: [20, 25, 51] Generated Node #0,2: 47:[20, 25, 51] Operation: 74-23=51 Start Sub Search at level 1: Moving to Node #0,0 Current State: 47:[74, 25, 43], Operations: ['23+20=43'] Exploring Operation: 74-43=31, Resulting Numbers: [25, 31] Generated Node #0,0,0: 47:[25, 31] Operation: 74-43=31 Exploring Operation: 25+43=68, Resulting Numbers: [74, 68] Generated Node #0,0,1: 47:[74, 68] Operation: 25+43=68 Exploring Operation: 74-25=49, Resulting Numbers: [43, 49] Generated Node #0,0,2: 47:[43, 49] Operation: 74-25=49 Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 47:[43, 49], Operations: ['23+20=43', '74-25=49'] Exploring Operation: 4349=2107, Resulting Numbers: [2107] 2107,47 unequal: No Solution Exploring Operation: 49-43=6, Resulting Numbers: [6] 6,47 unequal: No Solution Exploring Operation: 43+49=92, Resulting Numbers: [92] 92,47 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 47:[25, 31], Operations: ['23+20=43', '74-43=31'] Exploring Operation: 31-25=6, Resulting Numbers: [6] 6,47 unequal: No Solution Exploring Operation: 25+31=56, Resulting Numbers: [56] 56,47 unequal: No Solution Exploring Operation: 2531=775, Resulting Numbers: [775] 775,47 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 47:[74, 68], Operations: ['23+20=43', '25+43=68'] Exploring Operation: 74-68=6, Resulting Numbers: [6] 6,47 unequal: No Solution Exploring Operation: 74+68=142, Resulting Numbers: [142] 142,47 unequal: No Solution Exploring Operation: 7468=5032, Resulting Numbers: [5032] 5032,47 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 47:[23, 25, 54], Operations: ['74-20=54'] Exploring Operation: 54-23=31, Resulting Numbers: [25, 31] Generated Node #0,1,0: 47:[25, 31] Operation: 54-23=31 Exploring Operation: 23+25=48, Resulting Numbers: [54, 48] Generated Node #0,1,1: 47:[54, 48] Operation: 23+25=48 Exploring Operation: 54-25=29, Resulting Numbers: [23, 29] Generated Node #0,1,2: 47:[23, 29] Operation: 54-25=29 Moving to Node #0,1,1 Current State: 47:[54, 48], Operations: ['74-20=54', '23+25=48'] Exploring Operation: 54+48=102, Resulting Numbers: [102] 102,47 unequal: No Solution Exploring Operation: 54-48=6, Resulting Numbers: [6] 6,47 unequal: No Solution Exploring Operation: 5448=2592, Resulting Numbers: [2592] 2592,47 unequal: No Solution Moving to Node #0,1,0 Current State: 47:[25, 31], Operations: ['74-20=54', '54-23=31'] Exploring Operation: 31-25=6, Resulting Numbers: [6] 6,47 unequal: No Solution Exploring Operation: 2531=775, Resulting Numbers: [775] 775,47 unequal: No Solution Exploring Operation: 25+31=56, Resulting Numbers: [56] 56,47 unequal: No Solution Moving to Node #0,1,2 Current State: 47:[23, 29], Operations: ['74-20=54', '54-25=29'] Exploring Operation: 2329=667, Resulting Numbers: [667] 667,47 unequal: No Solution Exploring Operation: 29-23=6, Resulting Numbers: [6] 6,47 unequal: No Solution Exploring Operation: 23+29=52, Resulting Numbers: [52] 52,47 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 47:[20, 25, 51], Operations: ['74-23=51'] Exploring Operation: 25-20=5, Resulting Numbers: [51, 5] Generated Node #0,2,0: 47:[51, 5] Operation: 25-20=5 Exploring Operation: 20+25=45, Resulting Numbers: [51, 45] Generated Node #0,2,1: 47:[51, 45] Operation: 20+25=45 Exploring Operation: 51-20=31, Resulting Numbers: [25, 31] Generated Node #0,2,2: 47:[25, 31] Operation: 51-20=31 Moving to Node #0,2,1 Current State: 47:[51, 45], Operations: ['74-23=51', '20+25=45'] Exploring Operation: 51-45=6, Resulting Numbers: [6] 6,47 unequal: No Solution Exploring Operation: 51+45=96, Resulting Numbers: [96] 96,47 unequal: No Solution Exploring Operation: 5145=2295, Resulting Numbers: [2295] 2295,47 unequal: No Solution Moving to Node #0,2,2 Current State: 47:[25, 31], Operations: ['74-23=51', '51-20=31'] Exploring Operation: 25+31=56, Resulting Numbers: [56] 56,47 unequal: No Solution Exploring Operation: 31-25=6, Resulting Numbers: [6] 6,47 unequal: No Solution Exploring Operation: 2531=775, Resulting Numbers: [775] 775,47 unequal: No Solution Moving to Node #0,2,0 Current State: 47:[51, 5], Operations: ['74-23=51', '25-20=5'] Exploring Operation: 51+5=56, Resulting Numbers: [56] 56,47 unequal: No Solution Exploring Operation: 51-5=46, Resulting Numbers: [46] 46,47 unequal: No Solution Exploring Operation: 51*5=255, Resulting Numbers: [255] 255,47 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_3	mult_heuristic
[ 38, 62, 7, 58 ]	29	[ "38-7=31", "62/31=2", "58/2=29" ]	Current State: 29:[38, 62, 7, 58], Operations: [] Exploring Operation: 38-7=31, Resulting Numbers: [62, 58, 31] Generated Node #2: [62, 58, 31] from Operation: 38-7=31 Current State: 29:[62, 58, 31], Operations: ['38-7=31'] Exploring Operation: 62/31=2, Resulting Numbers: [58, 2] Generated Node #3: [58, 2] from Operation: 62/31=2 Current State: 29:[58, 2], Operations: ['38-7=31', '62/31=2'] Exploring Operation: 58/2=29, Resulting Numbers: [29] 29,29 equal: Goal Reached	4	Current State: 29:[38, 62, 7, 58], Operations: [] Exploring Operation: 62-38=24, Resulting Numbers: [7, 58, 24] Generated Node #0,0: 29:[7, 58, 24] Operation: 62-38=24 Moving to Node #0,0 Current State: 29:[7, 58, 24], Operations: ['62-38=24'] Exploring Operation: 58-7=51, Resulting Numbers: [24, 51] Generated Node #0,0,0: 29:[24, 51] Operation: 58-7=51 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 29:[24, 51], Operations: ['62-38=24', '58-7=51'] Exploring Operation: 51-24=27, Resulting Numbers: [27] 27,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	mult_heuristic
[ 77, 14, 46, 66 ]	71	[ "77+14=91", "66-46=20", "91-20=71" ]	Current State: 71:[77, 14, 46, 66], Operations: [] Exploring Operation: 77+14=91, Resulting Numbers: [46, 66, 91] Generated Node #2: [46, 66, 91] from Operation: 77+14=91 Current State: 71:[46, 66, 91], Operations: ['77+14=91'] Exploring Operation: 66-46=20, Resulting Numbers: [91, 20] Generated Node #3: [91, 20] from Operation: 66-46=20 Current State: 71:[91, 20], Operations: ['77+14=91', '66-46=20'] Exploring Operation: 91-20=71, Resulting Numbers: [71] 71,71 equal: Goal Reached	4	Current State: 71:[77, 14, 46, 66], Operations: [] Exploring Operation: 77-14=63, Resulting Numbers: [46, 66, 63] Generated Node #0,0: 71:[46, 66, 63] Operation: 77-14=63 Exploring Operation: 14+66=80, Resulting Numbers: [77, 46, 80] Generated Node #0,1: 71:[77, 46, 80] Operation: 14+66=80 Exploring Operation: 14+46=60, Resulting Numbers: [77, 66, 60] Generated Node #0,2: 71:[77, 66, 60] Operation: 14+46=60 Moving to Node #0,2 Current State: 71:[77, 66, 60], Operations: ['14+46=60'] Exploring Operation: 77-66=11, Resulting Numbers: [60, 11] Generated Node #0,2,0: 71:[60, 11] Operation: 77-66=11 Exploring Operation: 77-60=17, Resulting Numbers: [66, 17] Generated Node #0,2,1: 71:[66, 17] Operation: 77-60=17 Exploring Operation: 66+60=126, Resulting Numbers: [77, 126] Generated Node #0,2,2: 71:[77, 126] Operation: 66+60=126 Moving to Node #0,0 Current State: 71:[46, 66, 63], Operations: ['77-14=63'] Exploring Operation: 46+63=109, Resulting Numbers: [66, 109] Generated Node #0,0,0: 71:[66, 109] Operation: 46+63=109 Exploring Operation: 46+66=112, Resulting Numbers: [63, 112] Generated Node #0,0,1: 71:[63, 112] Operation: 46+66=112 Exploring Operation: 66-46=20, Resulting Numbers: [63, 20] Generated Node #0,0,2: 71:[63, 20] Operation: 66-46=20 Moving to Node #0,1 Current State: 71:[77, 46, 80], Operations: ['14+66=80'] Exploring Operation: 80-46=34, Resulting Numbers: [77, 34] Generated Node #0,1,0: 71:[77, 34] Operation: 80-46=34 Exploring Operation: 77+46=123, Resulting Numbers: [80, 123] Generated Node #0,1,1: 71:[80, 123] Operation: 77+46=123 Exploring Operation: 77-46=31, Resulting Numbers: [80, 31] Generated Node #0,1,2: 71:[80, 31] Operation: 77-46=31 Moving to Node #0,0,0 Current State: 71:[66, 109], Operations: ['77-14=63', '46+63=109'] Exploring Operation: 66+109=175, Resulting Numbers: [175] 175,71 unequal: No Solution Exploring Operation: 109-66=43, Resulting Numbers: [43] 43,71 unequal: No Solution Exploring Operation: 66109=7194, Resulting Numbers: [7194] 7194,71 unequal: No Solution Moving to Node #0,1,0 Current State: 71:[77, 34], Operations: ['14+66=80', '80-46=34'] Exploring Operation: 77-34=43, Resulting Numbers: [43] 43,71 unequal: No Solution Exploring Operation: 7734=2618, Resulting Numbers: [2618] 2618,71 unequal: No Solution Exploring Operation: 77+34=111, Resulting Numbers: [111] 111,71 unequal: No Solution Moving to Node #0,0,1 Current State: 71:[63, 112], Operations: ['77-14=63', '46+66=112'] Exploring Operation: 112-63=49, Resulting Numbers: [49] 49,71 unequal: No Solution Exploring Operation: 63+112=175, Resulting Numbers: [175] 175,71 unequal: No Solution Exploring Operation: 63112=7056, Resulting Numbers: [7056] 7056,71 unequal: No Solution Moving to Node #0,1,2 Current State: 71:[80, 31], Operations: ['14+66=80', '77-46=31'] Exploring Operation: 80+31=111, Resulting Numbers: [111] 111,71 unequal: No Solution Exploring Operation: 8031=2480, Resulting Numbers: [2480] 2480,71 unequal: No Solution Exploring Operation: 80-31=49, Resulting Numbers: [49] 49,71 unequal: No Solution Moving to Node #0,0,2 Current State: 71:[63, 20], Operations: ['77-14=63', '66-46=20'] Exploring Operation: 63-20=43, Resulting Numbers: [43] 43,71 unequal: No Solution Exploring Operation: 63+20=83, Resulting Numbers: [83] 83,71 unequal: No Solution Exploring Operation: 6320=1260, Resulting Numbers: [1260] 1260,71 unequal: No Solution Moving to Node #0,2,1 Current State: 71:[66, 17], Operations: ['14+46=60', '77-60=17'] Exploring Operation: 6617=1122, Resulting Numbers: [1122] 1122,71 unequal: No Solution Exploring Operation: 66+17=83, Resulting Numbers: [83] 83,71 unequal: No Solution Exploring Operation: 66-17=49, Resulting Numbers: [49] 49,71 unequal: No Solution Moving to Node #0,2,2 Current State: 71:[77, 126], Operations: ['14+46=60', '66+60=126'] Exploring Operation: 77126=9702, Resulting Numbers: [9702] 9702,71 unequal: No Solution Exploring Operation: 77+126=203, Resulting Numbers: [203] 203,71 unequal: No Solution Exploring Operation: 126-77=49, Resulting Numbers: [49] 49,71 unequal: No Solution Moving to Node #0,1,1 Current State: 71:[80, 123], Operations: ['14+66=80', '77+46=123'] Exploring Operation: 80123=9840, Resulting Numbers: [9840] 9840,71 unequal: No Solution Exploring Operation: 123-80=43, Resulting Numbers: [43] 43,71 unequal: No Solution Exploring Operation: 80+123=203, Resulting Numbers: [203] 203,71 unequal: No Solution Moving to Node #0,2,0 Current State: 71:[60, 11], Operations: ['14+46=60', '77-66=11'] Exploring Operation: 60+11=71, Resulting Numbers: [71] 71,71 equal: Goal Reached Moving to Node #0 Current State: 71:[77, 14, 46, 66], Operations: [] Exploring Operation: 14+46=60, Resulting Numbers: [77, 66, 60] Generated Node #0,2: 71:[77, 66, 60] Operation: 14+46=60 Moving to Node #0,2 Current State: 71:[77, 66, 60], Operations: ['14+46=60'] Exploring Operation: 77-66=11, Resulting Numbers: [60, 11] Generated Node #0,2,0: 71:[60, 11] Operation: 77-66=11 Moving to Node #0,2,0 Current State: 71:[60, 11], Operations: ['14+46=60', '77-66=11'] Exploring Operation: 60+11=71, Resulting Numbers: [71] 71,71 equal: Goal Reached	0.96441	hs_3	sum_heuristic
[ 46, 30, 91, 92 ]	76	[ "46+30=76", "92-91=1", "76*1=76" ]	Current State: 76:[46, 30, 91, 92], Operations: [] Exploring Operation: 46+30=76, Resulting Numbers: [91, 92, 76] Generated Node #2: [91, 92, 76] from Operation: 46+30=76 Current State: 76:[91, 92, 76], Operations: ['46+30=76'] Exploring Operation: 92-91=1, Resulting Numbers: [76, 1] Generated Node #3: [76, 1] from Operation: 92-91=1 Current State: 76:[76, 1], Operations: ['46+30=76', '92-91=1'] Exploring Operation: 76*1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached	4	Current State: 76:[46, 30, 91, 92], Operations: [] Exploring Operation: 92-91=1, Resulting Numbers: [46, 30, 1] Generated Node #0,0: 76:[46, 30, 1] Operation: 92-91=1 Exploring Operation: 92/46=2, Resulting Numbers: [30, 91, 2] Generated Node #0,1: 76:[30, 91, 2] Operation: 92/46=2 Exploring Operation: 46+30=76, Resulting Numbers: [91, 92, 76] Generated Node #0,2: 76:[91, 92, 76] Operation: 46+30=76 Exploring Operation: 91-46=45, Resulting Numbers: [30, 92, 45] Generated Node #0,3: 76:[30, 92, 45] Operation: 91-46=45 Start Sub Search at level 1: Moving to Node #0,0 Current State: 76:[46, 30, 1], Operations: ['92-91=1'] Exploring Operation: 46+30=76, Resulting Numbers: [1, 76] Generated Node #0,0,0: 76:[1, 76] Operation: 46+30=76 Exploring Operation: 46-30=16, Resulting Numbers: [1, 16] Generated Node #0,0,1: 76:[1, 16] Operation: 46-30=16 Exploring Operation: 46-1=45, Resulting Numbers: [30, 45] Generated Node #0,0,2: 76:[30, 45] Operation: 46-1=45 Exploring Operation: 30+1=31, Resulting Numbers: [46, 31] Generated Node #0,0,3: 76:[46, 31] Operation: 30+1=31 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 76:[1, 76], Operations: ['92-91=1', '46+30=76'] Exploring Operation: 76-1=75, Resulting Numbers: [75] 75,76 unequal: No Solution Exploring Operation: 76/1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached Moving to Node #0 Current State: 76:[46, 30, 91, 92], Operations: [] Exploring Operation: 92-91=1, Resulting Numbers: [46, 30, 1] Generated Node #0,0: 76:[46, 30, 1] Operation: 92-91=1 Moving to Node #0,0 Current State: 76:[46, 30, 1], Operations: ['92-91=1'] Exploring Operation: 46+30=76, Resulting Numbers: [1, 76] Generated Node #0,0,0: 76:[1, 76] Operation: 46+30=76 Moving to Node #0,0,0 Current State: 76:[1, 76], Operations: ['92-91=1', '46+30=76'] Exploring Operation: 76/1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.987847	hs_4	mult_heuristic
[ 7, 56, 45, 33 ]	61	[ "56-7=49", "45-33=12", "49+12=61" ]	Current State: 61:[7, 56, 45, 33], Operations: [] Exploring Operation: 56-7=49, Resulting Numbers: [45, 33, 49] Generated Node #2: [45, 33, 49] from Operation: 56-7=49 Current State: 61:[45, 33, 49], Operations: ['56-7=49'] Exploring Operation: 45-33=12, Resulting Numbers: [49, 12] Generated Node #3: [49, 12] from Operation: 45-33=12 Current State: 61:[49, 12], Operations: ['56-7=49', '45-33=12'] Exploring Operation: 49+12=61, Resulting Numbers: [61] 61,61 equal: Goal Reached	4	Current State: 61:[7, 56, 45, 33], Operations: [] Exploring Operation: 7+45=52, Resulting Numbers: [56, 33, 52] Generated Node #0,0: 61:[56, 33, 52] Operation: 7+45=52 Moving to Node #0,0 Current State: 61:[56, 33, 52], Operations: ['7+45=52'] Exploring Operation: 33+52=85, Resulting Numbers: [56, 85] Generated Node #0,0,0: 61:[56, 85] Operation: 33+52=85 Moving to Node #0,0,0 Current State: 61:[56, 85], Operations: ['7+45=52', '33+52=85'] Exploring Operation: 85-56=29, Resulting Numbers: [29] 29,61 unequal: No Solution No solution found.	0	hs_1	mult_heuristic
[ 47, 2, 31, 65 ]	11	[ "47-2=45", "65-31=34", "45-34=11" ]	Current State: 11:[47, 2, 31, 65], Operations: [] Exploring Operation: 47-2=45, Resulting Numbers: [31, 65, 45] Generated Node #2: [31, 65, 45] from Operation: 47-2=45 Current State: 11:[31, 65, 45], Operations: ['47-2=45'] Exploring Operation: 65-31=34, Resulting Numbers: [45, 34] Generated Node #3: [45, 34] from Operation: 65-31=34 Current State: 11:[45, 34], Operations: ['47-2=45', '65-31=34'] Exploring Operation: 45-34=11, Resulting Numbers: [11] 11,11 equal: Goal Reached	4	Current State: 11:[47, 2, 31, 65], Operations: [] Exploring Operation: 65-47=18, Resulting Numbers: [2, 31, 18] Generated Node #0,0: 11:[2, 31, 18] Operation: 65-47=18 Exploring Operation: 65-31=34, Resulting Numbers: [47, 2, 34] Generated Node #0,1: 11:[47, 2, 34] Operation: 65-31=34 Exploring Operation: 47-31=16, Resulting Numbers: [2, 65, 16] Generated Node #0,2: 11:[2, 65, 16] Operation: 47-31=16 Moving to Node #0,0 Current State: 11:[2, 31, 18], Operations: ['65-47=18'] Exploring Operation: 31-18=13, Resulting Numbers: [2, 13] Generated Node #0,0,0: 11:[2, 13] Operation: 31-18=13 Exploring Operation: 31-2=29, Resulting Numbers: [18, 29] Generated Node #0,0,1: 11:[18, 29] Operation: 31-2=29 Exploring Operation: 18/2=9, Resulting Numbers: [31, 9] Generated Node #0,0,2: 11:[31, 9] Operation: 18/2=9 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 11:[2, 13], Operations: ['65-47=18', '31-18=13'] Exploring Operation: 2+13=15, Resulting Numbers: [15] 15,11 unequal: No Solution Exploring Operation: 2*13=26, Resulting Numbers: [26] 26,11 unequal: No Solution Exploring Operation: 13-2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached Moving to Node #0 Current State: 11:[47, 2, 31, 65], Operations: [] Exploring Operation: 65-47=18, Resulting Numbers: [2, 31, 18] Generated Node #0,0: 11:[2, 31, 18] Operation: 65-47=18 Moving to Node #0,0 Current State: 11:[2, 31, 18], Operations: ['65-47=18'] Exploring Operation: 31-18=13, Resulting Numbers: [2, 13] Generated Node #0,0,0: 11:[2, 13] Operation: 31-18=13 Moving to Node #0,0,0 Current State: 11:[2, 13], Operations: ['65-47=18', '31-18=13'] Exploring Operation: 13-2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached Exit Sub Search at level 1	0.988715	hs_3	sum_heuristic
[ 96, 24, 51, 58 ]	64	[ "58-24=34", "96*34=3264", "3264/51=64" ]	Current State: 64:[96, 24, 51, 58], Operations: [] Exploring Operation: 58-24=34, Resulting Numbers: [96, 51, 34] Generated Node #2: [96, 51, 34] from Operation: 58-24=34 Current State: 64:[96, 51, 34], Operations: ['58-24=34'] Exploring Operation: 9634=3264, Resulting Numbers: [51, 3264] Generated Node #3: [51, 3264] from Operation: 9634=3264 Current State: 64:[51, 3264], Operations: ['58-24=34', '96*34=3264'] Exploring Operation: 3264/51=64, Resulting Numbers: [64] 64,64 equal: Goal Reached	4	Current State: 64:[96, 24, 51, 58], Operations: [] Exploring Operation: 96-24=72, Resulting Numbers: [51, 58, 72] Generated Node #0,0: 64:[51, 58, 72] Operation: 96-24=72 Exploring Operation: 96/24=4, Resulting Numbers: [51, 58, 4] Generated Node #0,1: 64:[51, 58, 4] Operation: 96/24=4 Start Sub Search at level 1: Moving to Node #0,1 Current State: 64:[51, 58, 4], Operations: ['96/24=4'] Exploring Operation: 58-51=7, Resulting Numbers: [4, 7] Generated Node #0,1,0: 64:[4, 7] Operation: 58-51=7 Exploring Operation: 51+4=55, Resulting Numbers: [58, 55] Generated Node #0,1,1: 64:[58, 55] Operation: 51+4=55 Moving to Node #0,1,0 Current State: 64:[4, 7], Operations: ['96/24=4', '58-51=7'] Exploring Operation: 7-4=3, Resulting Numbers: [3] 3,64 unequal: No Solution Exploring Operation: 4+7=11, Resulting Numbers: [11] 11,64 unequal: No Solution Moving to Node #0,1,1 Current State: 64:[58, 55], Operations: ['96/24=4', '51+4=55'] Exploring Operation: 58-55=3, Resulting Numbers: [3] 3,64 unequal: No Solution Exploring Operation: 58+55=113, Resulting Numbers: [113] 113,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 64:[51, 58, 72], Operations: ['96-24=72'] Exploring Operation: 58-51=7, Resulting Numbers: [72, 7] Generated Node #0,0,0: 64:[72, 7] Operation: 58-51=7 Exploring Operation: 72-51=21, Resulting Numbers: [58, 21] Generated Node #0,0,1: 64:[58, 21] Operation: 72-51=21 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 64:[72, 7], Operations: ['96-24=72', '58-51=7'] Exploring Operation: 72+7=79, Resulting Numbers: [79] 79,64 unequal: No Solution Exploring Operation: 72-7=65, Resulting Numbers: [65] 65,64 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 64:[58, 21], Operations: ['96-24=72', '72-51=21'] Exploring Operation: 58+21=79, Resulting Numbers: [79] 79,64 unequal: No Solution Exploring Operation: 58-21=37, Resulting Numbers: [37] 37,64 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_2	sum_heuristic
[ 8, 56, 48, 69 ]	56	[ "56+48=104", "104/8=13", "69-13=56" ]	Current State: 56:[8, 56, 48, 69], Operations: [] Exploring Operation: 56+48=104, Resulting Numbers: [8, 69, 104] Generated Node #2: [8, 69, 104] from Operation: 56+48=104 Current State: 56:[8, 69, 104], Operations: ['56+48=104'] Exploring Operation: 104/8=13, Resulting Numbers: [69, 13] Generated Node #3: [69, 13] from Operation: 104/8=13 Current State: 56:[69, 13], Operations: ['56+48=104', '104/8=13'] Exploring Operation: 69-13=56, Resulting Numbers: [56] 56,56 equal: Goal Reached	4	Current State: 56:[8, 56, 48, 69], Operations: [] Exploring Operation: 69-48=21, Resulting Numbers: [8, 56, 21] Generated Node #0,0: 56:[8, 56, 21] Operation: 69-48=21 Start Sub Search at level 1: Moving to Node #0,0 Current State: 56:[8, 56, 21], Operations: ['69-48=21'] Exploring Operation: 8+21=29, Resulting Numbers: [56, 29] Generated Node #0,0,0: 56:[56, 29] Operation: 8+21=29 Moving to Node #0,0,0 Current State: 56:[56, 29], Operations: ['69-48=21', '8+21=29'] Exploring Operation: 56-29=27, Resulting Numbers: [27] 27,56 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	mult_heuristic
[ 96, 43, 76, 15 ]	19	[ "96+76=172", "172/43=4", "15+4=19" ]	Current State: 19:[96, 43, 76, 15], Operations: [] Exploring Operation: 96+76=172, Resulting Numbers: [43, 15, 172] Generated Node #2: [43, 15, 172] from Operation: 96+76=172 Current State: 19:[43, 15, 172], Operations: ['96+76=172'] Exploring Operation: 172/43=4, Resulting Numbers: [15, 4] Generated Node #3: [15, 4] from Operation: 172/43=4 Current State: 19:[15, 4], Operations: ['96+76=172', '172/43=4'] Exploring Operation: 15+4=19, Resulting Numbers: [19] 19,19 equal: Goal Reached	4	Current State: 19:[96, 43, 76, 15], Operations: [] Exploring Operation: 96-76=20, Resulting Numbers: [43, 15, 20] Generated Node #0,0: 19:[43, 15, 20] Operation: 96-76=20 Moving to Node #0,0 Current State: 19:[43, 15, 20], Operations: ['96-76=20'] Exploring Operation: 43-20=23, Resulting Numbers: [15, 23] Generated Node #0,0,0: 19:[15, 23] Operation: 43-20=23 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 19:[15, 23], Operations: ['96-76=20', '43-20=23'] Exploring Operation: 23-15=8, Resulting Numbers: [8] 8,19 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	sum_heuristic
[ 60, 83, 84, 41 ]	18	[ "60+83=143", "84+41=125", "143-125=18" ]	Current State: 18:[60, 83, 84, 41], Operations: [] Exploring Operation: 60+83=143, Resulting Numbers: [84, 41, 143] Generated Node #2: [84, 41, 143] from Operation: 60+83=143 Current State: 18:[84, 41, 143], Operations: ['60+83=143'] Exploring Operation: 84+41=125, Resulting Numbers: [143, 125] Generated Node #3: [143, 125] from Operation: 84+41=125 Current State: 18:[143, 125], Operations: ['60+83=143', '84+41=125'] Exploring Operation: 143-125=18, Resulting Numbers: [18] 18,18 equal: Goal Reached	4	Current State: 18:[60, 83, 84, 41], Operations: [] Exploring Operation: 84-60=24, Resulting Numbers: [83, 41, 24] Generated Node #0,0: 18:[83, 41, 24] Operation: 84-60=24 Exploring Operation: 83-60=23, Resulting Numbers: [84, 41, 23] Generated Node #0,1: 18:[84, 41, 23] Operation: 83-60=23 Exploring Operation: 84-83=1, Resulting Numbers: [60, 41, 1] Generated Node #0,2: 18:[60, 41, 1] Operation: 84-83=1 Moving to Node #0,2 Current State: 18:[60, 41, 1], Operations: ['84-83=1'] Exploring Operation: 60-1=59, Resulting Numbers: [41, 59] Generated Node #0,2,0: 18:[41, 59] Operation: 60-1=59 Exploring Operation: 41-1=40, Resulting Numbers: [60, 40] Generated Node #0,2,1: 18:[60, 40] Operation: 41-1=40 Exploring Operation: 60-41=19, Resulting Numbers: [1, 19] Generated Node #0,2,2: 18:[1, 19] Operation: 60-41=19 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 18:[1, 19], Operations: ['84-83=1', '60-41=19'] Exploring Operation: 19-1=18, Resulting Numbers: [18] 18,18 equal: Goal Reached Moving to Node #0 Current State: 18:[60, 83, 84, 41], Operations: [] Exploring Operation: 84-83=1, Resulting Numbers: [60, 41, 1] Generated Node #0,2: 18:[60, 41, 1] Operation: 84-83=1 Moving to Node #0,2 Current State: 18:[60, 41, 1], Operations: ['84-83=1'] Exploring Operation: 60-41=19, Resulting Numbers: [1, 19] Generated Node #0,2,2: 18:[1, 19] Operation: 60-41=19 Moving to Node #0,2,2 Current State: 18:[1, 19], Operations: ['84-83=1', '60-41=19'] Exploring Operation: 19-1=18, Resulting Numbers: [18] 18,18 equal: Goal Reached Exit Sub Search at level 1	0.990451	hs_3	mult_heuristic
[ 30, 33, 86, 24 ]	65	[ "33-30=3", "86-24=62", "3+62=65" ]	Current State: 65:[30, 33, 86, 24], Operations: [] Exploring Operation: 33-30=3, Resulting Numbers: [86, 24, 3] Generated Node #2: [86, 24, 3] from Operation: 33-30=3 Current State: 65:[86, 24, 3], Operations: ['33-30=3'] Exploring Operation: 86-24=62, Resulting Numbers: [3, 62] Generated Node #3: [3, 62] from Operation: 86-24=62 Current State: 65:[3, 62], Operations: ['33-30=3', '86-24=62'] Exploring Operation: 3+62=65, Resulting Numbers: [65] 65,65 equal: Goal Reached	4	Current State: 65:[30, 33, 86, 24], Operations: [] Exploring Operation: 30+33=63, Resulting Numbers: [86, 24, 63] Generated Node #0,0: 65:[86, 24, 63] Operation: 30+33=63 Start Sub Search at level 1: Moving to Node #0,0 Current State: 65:[86, 24, 63], Operations: ['30+33=63'] Exploring Operation: 86-24=62, Resulting Numbers: [63, 62] Generated Node #0,0,0: 65:[63, 62] Operation: 86-24=62 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 65:[63, 62], Operations: ['30+33=63', '86-24=62'] Exploring Operation: 63-62=1, Resulting Numbers: [1] 1,65 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	mult_heuristic
[ 34, 82, 68, 54 ]	30	[ "68/34=2", "82-54=28", "2+28=30" ]	Current State: 30:[34, 82, 68, 54], Operations: [] Exploring Operation: 68/34=2, Resulting Numbers: [82, 54, 2] Generated Node #2: [82, 54, 2] from Operation: 68/34=2 Current State: 30:[82, 54, 2], Operations: ['68/34=2'] Exploring Operation: 82-54=28, Resulting Numbers: [2, 28] Generated Node #3: [2, 28] from Operation: 82-54=28 Current State: 30:[2, 28], Operations: ['68/34=2', '82-54=28'] Exploring Operation: 2+28=30, Resulting Numbers: [30] 30,30 equal: Goal Reached	4	Current State: 30:[34, 82, 68, 54], Operations: [] Exploring Operation: 82-68=14, Resulting Numbers: [34, 54, 14] Generated Node #0,0: 30:[34, 54, 14] Operation: 82-68=14 Exploring Operation: 82-54=28, Resulting Numbers: [34, 68, 28] Generated Node #0,1: 30:[34, 68, 28] Operation: 82-54=28 Exploring Operation: 68-54=14, Resulting Numbers: [34, 82, 14] Generated Node #0,2: 30:[34, 82, 14] Operation: 68-54=14 Moving to Node #0,0 Current State: 30:[34, 54, 14], Operations: ['82-68=14'] Exploring Operation: 54-14=40, Resulting Numbers: [34, 40] Generated Node #0,0,0: 30:[34, 40] Operation: 54-14=40 Exploring Operation: 34-14=20, Resulting Numbers: [54, 20] Generated Node #0,0,1: 30:[54, 20] Operation: 34-14=20 Exploring Operation: 54-34=20, Resulting Numbers: [14, 20] Generated Node #0,0,2: 30:[14, 20] Operation: 54-34=20 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 30:[14, 20], Operations: ['82-68=14', '54-34=20'] Exploring Operation: 1420=280, Resulting Numbers: [280] 280,30 unequal: No Solution Exploring Operation: 20-14=6, Resulting Numbers: [6] 6,30 unequal: No Solution Exploring Operation: 14+20=34, Resulting Numbers: [34] 34,30 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 30:[34, 40], Operations: ['82-68=14', '54-14=40'] Exploring Operation: 40-34=6, Resulting Numbers: [6] 6,30 unequal: No Solution Exploring Operation: 34+40=74, Resulting Numbers: [74] 74,30 unequal: No Solution Exploring Operation: 3440=1360, Resulting Numbers: [1360] 1360,30 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 30:[54, 20], Operations: ['82-68=14', '34-14=20'] Exploring Operation: 5420=1080, Resulting Numbers: [1080] 1080,30 unequal: No Solution Exploring Operation: 54+20=74, Resulting Numbers: [74] 74,30 unequal: No Solution Exploring Operation: 54-20=34, Resulting Numbers: [34] 34,30 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 30:[34, 68, 28], Operations: ['82-54=28'] Exploring Operation: 68-28=40, Resulting Numbers: [34, 40] Generated Node #0,1,0: 30:[34, 40] Operation: 68-28=40 Exploring Operation: 68/34=2, Resulting Numbers: [28, 2] Generated Node #0,1,1: 30:[28, 2] Operation: 68/34=2 Exploring Operation: 68-34=34, Resulting Numbers: [28, 34] Generated Node #0,1,2: 30:[28, 34] Operation: 68-34=34 Moving to Node #0,2 Current State: 30:[34, 82, 14], Operations: ['68-54=14'] Exploring Operation: 82-14=68, Resulting Numbers: [34, 68] Generated Node #0,2,0: 30:[34, 68] Operation: 82-14=68 Exploring Operation: 82-34=48, Resulting Numbers: [14, 48] Generated Node #0,2,1: 30:[14, 48] Operation: 82-34=48 Exploring Operation: 34-14=20, Resulting Numbers: [82, 20] Generated Node #0,2,2: 30:[82, 20] Operation: 34-14=20 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 30:[14, 48], Operations: ['68-54=14', '82-34=48'] Exploring Operation: 1448=672, Resulting Numbers: [672] 672,30 unequal: No Solution Exploring Operation: 48-14=34, Resulting Numbers: [34] 34,30 unequal: No Solution Exploring Operation: 14+48=62, Resulting Numbers: [62] 62,30 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 30:[34, 68], Operations: ['68-54=14', '82-14=68'] Exploring Operation: 34+68=102, Resulting Numbers: [102] 102,30 unequal: No Solution Exploring Operation: 68-34=34, Resulting Numbers: [34] 34,30 unequal: No Solution Exploring Operation: 68/34=2, Resulting Numbers: [2] 2,30 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 30:[82, 20], Operations: ['68-54=14', '34-14=20'] Exploring Operation: 82+20=102, Resulting Numbers: [102] 102,30 unequal: No Solution Exploring Operation: 82-20=62, Resulting Numbers: [62] 62,30 unequal: No Solution Exploring Operation: 82*20=1640, Resulting Numbers: [1640] 1640,30 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,1 Current State: 30:[28, 2], Operations: ['82-54=28', '68/34=2'] Exploring Operation: 28+2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached Moving to Node #0 Current State: 30:[34, 82, 68, 54], Operations: [] Exploring Operation: 82-54=28, Resulting Numbers: [34, 68, 28] Generated Node #0,1: 30:[34, 68, 28] Operation: 82-54=28 Moving to Node #0,1 Current State: 30:[34, 68, 28], Operations: ['82-54=28'] Exploring Operation: 68/34=2, Resulting Numbers: [28, 2] Generated Node #0,1,1: 30:[28, 2] Operation: 68/34=2 Moving to Node #0,1,1 Current State: 30:[28, 2], Operations: ['82-54=28', '68/34=2'] Exploring Operation: 28+2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached	0.969618	hs_3	sum_heuristic
[ 61, 56, 88, 60 ]	100	[ "61-56=5", "60/5=12", "88+12=100" ]	Current State: 100:[61, 56, 88, 60], Operations: [] Exploring Operation: 61-56=5, Resulting Numbers: [88, 60, 5] Generated Node #2: [88, 60, 5] from Operation: 61-56=5 Current State: 100:[88, 60, 5], Operations: ['61-56=5'] Exploring Operation: 60/5=12, Resulting Numbers: [88, 12] Generated Node #3: [88, 12] from Operation: 60/5=12 Current State: 100:[88, 12], Operations: ['61-56=5', '60/5=12'] Exploring Operation: 88+12=100, Resulting Numbers: [100] 100,100 equal: Goal Reached	4	Current State: 100:[61, 56, 88, 60], Operations: [] Exploring Operation: 88-61=27, Resulting Numbers: [56, 60, 27] Generated Node #0,0: 100:[56, 60, 27] Operation: 88-61=27 Start Sub Search at level 1: Moving to Node #0,0 Current State: 100:[56, 60, 27], Operations: ['88-61=27'] Exploring Operation: 60-56=4, Resulting Numbers: [27, 4] Generated Node #0,0,0: 100:[27, 4] Operation: 60-56=4 Moving to Node #0,0,0 Current State: 100:[27, 4], Operations: ['88-61=27', '60-56=4'] Exploring Operation: 27-4=23, Resulting Numbers: [23] 23,100 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	mult_heuristic
[ 1, 99, 82, 68 ]	51	[ "1*99=99", "82+68=150", "150-99=51" ]	Current State: 51:[1, 99, 82, 68], Operations: [] Exploring Operation: 199=99, Resulting Numbers: [82, 68, 99] Generated Node #2: [82, 68, 99] from Operation: 199=99 Current State: 51:[82, 68, 99], Operations: ['199=99'] Exploring Operation: 82+68=150, Resulting Numbers: [99, 150] Generated Node #3: [99, 150] from Operation: 82+68=150 Current State: 51:[99, 150], Operations: ['199=99', '82+68=150'] Exploring Operation: 150-99=51, Resulting Numbers: [51] 51,51 equal: Goal Reached	4	Current State: 51:[1, 99, 82, 68], Operations: [] Exploring Operation: 99-82=17, Resulting Numbers: [1, 68, 17] Generated Node #0,0: 51:[1, 68, 17] Operation: 99-82=17 Exploring Operation: 99-68=31, Resulting Numbers: [1, 82, 31] Generated Node #0,1: 51:[1, 82, 31] Operation: 99-68=31 Exploring Operation: 82-68=14, Resulting Numbers: [1, 99, 14] Generated Node #0,2: 51:[1, 99, 14] Operation: 82-68=14 Exploring Operation: 99-1=98, Resulting Numbers: [82, 68, 98] Generated Node #0,3: 51:[82, 68, 98] Operation: 99-1=98 Exploring Operation: 82-1=81, Resulting Numbers: [99, 68, 81] Generated Node #0,4: 51:[99, 68, 81] Operation: 82-1=81 Moving to Node #0,0 Current State: 51:[1, 68, 17], Operations: ['99-82=17'] Exploring Operation: 68/17=4, Resulting Numbers: [1, 4] Generated Node #0,0,0: 51:[1, 4] Operation: 68/17=4 Exploring Operation: 68/1=68, Resulting Numbers: [17, 68] Generated Node #0,0,1: 51:[17, 68] Operation: 68/1=68 Exploring Operation: 168=68, Resulting Numbers: [17, 68] Generated Node #0,0,2: 51:[17, 68] Operation: 168=68 Exploring Operation: 68-17=51, Resulting Numbers: [1, 51] Generated Node #0,0,3: 51:[1, 51] Operation: 68-17=51 Exploring Operation: 68-1=67, Resulting Numbers: [17, 67] Generated Node #0,0,4: 51:[17, 67] Operation: 68-1=67 Moving to Node #0,1 Current State: 51:[1, 82, 31], Operations: ['99-68=31'] Exploring Operation: 82-31=51, Resulting Numbers: [1, 51] Generated Node #0,1,0: 51:[1, 51] Operation: 82-31=51 Exploring Operation: 82/1=82, Resulting Numbers: [31, 82] Generated Node #0,1,1: 51:[31, 82] Operation: 82/1=82 Exploring Operation: 82-1=81, Resulting Numbers: [31, 81] Generated Node #0,1,2: 51:[31, 81] Operation: 82-1=81 Exploring Operation: 182=82, Resulting Numbers: [31, 82] Generated Node #0,1,3: 51:[31, 82] Operation: 182=82 Exploring Operation: 31-1=30, Resulting Numbers: [82, 30] Generated Node #0,1,4: 51:[82, 30] Operation: 31-1=30 Moving to Node #0,2 Current State: 51:[1, 99, 14], Operations: ['82-68=14'] Exploring Operation: 99/1=99, Resulting Numbers: [14, 99] Generated Node #0,2,0: 51:[14, 99] Operation: 99/1=99 Exploring Operation: 199=99, Resulting Numbers: [14, 99] Generated Node #0,2,1: 51:[14, 99] Operation: 199=99 Exploring Operation: 99-14=85, Resulting Numbers: [1, 85] Generated Node #0,2,2: 51:[1, 85] Operation: 99-14=85 Exploring Operation: 99-1=98, Resulting Numbers: [14, 98] Generated Node #0,2,3: 51:[14, 98] Operation: 99-1=98 Exploring Operation: 1+14=15, Resulting Numbers: [99, 15] Generated Node #0,2,4: 51:[99, 15] Operation: 1+14=15 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 51:[1, 85], Operations: ['82-68=14', '99-14=85'] Exploring Operation: 1+85=86, Resulting Numbers: [86] 86,51 unequal: No Solution Exploring Operation: 185=85, Resulting Numbers: [85] 85,51 unequal: No Solution Exploring Operation: 85-1=84, Resulting Numbers: [84] 84,51 unequal: No Solution Exploring Operation: 85/1=85, Resulting Numbers: [85] 85,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 51:[14, 98], Operations: ['82-68=14', '99-1=98'] Exploring Operation: 14+98=112, Resulting Numbers: [112] 112,51 unequal: No Solution Exploring Operation: 98-14=84, Resulting Numbers: [84] 84,51 unequal: No Solution Exploring Operation: 1498=1372, Resulting Numbers: [1372] 1372,51 unequal: No Solution Exploring Operation: 98/14=7, Resulting Numbers: [7] 7,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 51:[99, 15], Operations: ['82-68=14', '1+14=15'] Exploring Operation: 99+15=114, Resulting Numbers: [114] 114,51 unequal: No Solution Exploring Operation: 99-15=84, Resulting Numbers: [84] 84,51 unequal: No Solution Exploring Operation: 9915=1485, Resulting Numbers: [1485] 1485,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 51:[14, 99], Operations: ['82-68=14', '99/1=99'] Exploring Operation: 1499=1386, Resulting Numbers: [1386] 1386,51 unequal: No Solution Exploring Operation: 99-14=85, Resulting Numbers: [85] 85,51 unequal: No Solution Exploring Operation: 14+99=113, Resulting Numbers: [113] 113,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 51:[14, 99], Operations: ['82-68=14', '199=99'] Exploring Operation: 1499=1386, Resulting Numbers: [1386] 1386,51 unequal: No Solution Exploring Operation: 99-14=85, Resulting Numbers: [85] 85,51 unequal: No Solution Exploring Operation: 14+99=113, Resulting Numbers: [113] 113,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 51:[82, 68, 98], Operations: ['99-1=98'] Exploring Operation: 98-82=16, Resulting Numbers: [68, 16] Generated Node #0,3,0: 51:[68, 16] Operation: 98-82=16 Exploring Operation: 82-68=14, Resulting Numbers: [98, 14] Generated Node #0,3,1: 51:[98, 14] Operation: 82-68=14 Exploring Operation: 82+68=150, Resulting Numbers: [98, 150] Generated Node #0,3,2: 51:[98, 150] Operation: 82+68=150 Exploring Operation: 82+98=180, Resulting Numbers: [68, 180] Generated Node #0,3,3: 51:[68, 180] Operation: 82+98=180 Exploring Operation: 98-68=30, Resulting Numbers: [82, 30] Generated Node #0,3,4: 51:[82, 30] Operation: 98-68=30 Moving to Node #0,4 Current State: 51:[99, 68, 81], Operations: ['82-1=81'] Exploring Operation: 81-68=13, Resulting Numbers: [99, 13] Generated Node #0,4,0: 51:[99, 13] Operation: 81-68=13 Exploring Operation: 99-81=18, Resulting Numbers: [68, 18] Generated Node #0,4,1: 51:[68, 18] Operation: 99-81=18 Exploring Operation: 99+81=180, Resulting Numbers: [68, 180] Generated Node #0,4,2: 51:[68, 180] Operation: 99+81=180 Exploring Operation: 99+68=167, Resulting Numbers: [81, 167] Generated Node #0,4,3: 51:[81, 167] Operation: 99+68=167 Exploring Operation: 99-68=31, Resulting Numbers: [81, 31] Generated Node #0,4,4: 51:[81, 31] Operation: 99-68=31 Moving to Node #0,0,3 Current State: 51:[1, 51], Operations: ['99-82=17', '68-17=51'] Exploring Operation: 51/1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached Moving to Node #0 Current State: 51:[1, 99, 82, 68], Operations: [] Exploring Operation: 99-82=17, Resulting Numbers: [1, 68, 17] Generated Node #0,0: 51:[1, 68, 17] Operation: 99-82=17 Moving to Node #0,0 Current State: 51:[1, 68, 17], Operations: ['99-82=17'] Exploring Operation: 68-17=51, Resulting Numbers: [1, 51] Generated Node #0,0,3: 51:[1, 51] Operation: 68-17=51 Moving to Node #0,0,3 Current State: 51:[1, 51], Operations: ['99-82=17', '68-17=51'] Exploring Operation: 51/1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached	0.954861	hs_5	mult_heuristic
[ 60, 37, 25, 74 ]	83	[ "60+25=85", "74/37=2", "85-2=83" ]	Current State: 83:[60, 37, 25, 74], Operations: [] Exploring Operation: 60+25=85, Resulting Numbers: [37, 74, 85] Generated Node #2: [37, 74, 85] from Operation: 60+25=85 Current State: 83:[37, 74, 85], Operations: ['60+25=85'] Exploring Operation: 74/37=2, Resulting Numbers: [85, 2] Generated Node #3: [85, 2] from Operation: 74/37=2 Current State: 83:[85, 2], Operations: ['60+25=85', '74/37=2'] Exploring Operation: 85-2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached	4	Current State: 83:[60, 37, 25, 74], Operations: [] Exploring Operation: 60-25=35, Resulting Numbers: [37, 74, 35] Generated Node #0,0: 83:[37, 74, 35] Operation: 60-25=35 Exploring Operation: 60+25=85, Resulting Numbers: [37, 74, 85] Generated Node #0,1: 83:[37, 74, 85] Operation: 60+25=85 Exploring Operation: 37+25=62, Resulting Numbers: [60, 74, 62] Generated Node #0,2: 83:[60, 74, 62] Operation: 37+25=62 Exploring Operation: 25+74=99, Resulting Numbers: [60, 37, 99] Generated Node #0,3: 83:[60, 37, 99] Operation: 25+74=99 Exploring Operation: 60+37=97, Resulting Numbers: [25, 74, 97] Generated Node #0,4: 83:[25, 74, 97] Operation: 60+37=97 Moving to Node #0,2 Current State: 83:[60, 74, 62], Operations: ['37+25=62'] Exploring Operation: 62-60=2, Resulting Numbers: [74, 2] Generated Node #0,2,0: 83:[74, 2] Operation: 62-60=2 Exploring Operation: 74+62=136, Resulting Numbers: [60, 136] Generated Node #0,2,1: 83:[60, 136] Operation: 74+62=136 Exploring Operation: 60+74=134, Resulting Numbers: [62, 134] Generated Node #0,2,2: 83:[62, 134] Operation: 60+74=134 Exploring Operation: 60+62=122, Resulting Numbers: [74, 122] Generated Node #0,2,3: 83:[74, 122] Operation: 60+62=122 Exploring Operation: 74-60=14, Resulting Numbers: [62, 14] Generated Node #0,2,4: 83:[62, 14] Operation: 74-60=14 Moving to Node #0,1 Current State: 83:[37, 74, 85], Operations: ['60+25=85'] Exploring Operation: 37+85=122, Resulting Numbers: [74, 122] Generated Node #0,1,0: 83:[74, 122] Operation: 37+85=122 Exploring Operation: 74/37=2, Resulting Numbers: [85, 2] Generated Node #0,1,1: 83:[85, 2] Operation: 74/37=2 Exploring Operation: 74-37=37, Resulting Numbers: [85, 37] Generated Node #0,1,2: 83:[85, 37] Operation: 74-37=37 Exploring Operation: 37+74=111, Resulting Numbers: [85, 111] Generated Node #0,1,3: 83:[85, 111] Operation: 37+74=111 Exploring Operation: 85-37=48, Resulting Numbers: [74, 48] Generated Node #0,1,4: 83:[74, 48] Operation: 85-37=48 Moving to Node #0,4 Current State: 83:[25, 74, 97], Operations: ['60+37=97'] Exploring Operation: 97-74=23, Resulting Numbers: [25, 23] Generated Node #0,4,0: 83:[25, 23] Operation: 97-74=23 Exploring Operation: 25+74=99, Resulting Numbers: [97, 99] Generated Node #0,4,1: 83:[97, 99] Operation: 25+74=99 Exploring Operation: 25+97=122, Resulting Numbers: [74, 122] Generated Node #0,4,2: 83:[74, 122] Operation: 25+97=122 Exploring Operation: 74-25=49, Resulting Numbers: [97, 49] Generated Node #0,4,3: 83:[97, 49] Operation: 74-25=49 Exploring Operation: 97-25=72, Resulting Numbers: [74, 72] Generated Node #0,4,4: 83:[74, 72] Operation: 97-25=72 Moving to Node #0,3 Current State: 83:[60, 37, 99], Operations: ['25+74=99'] Exploring Operation: 37+99=136, Resulting Numbers: [60, 136] Generated Node #0,3,0: 83:[60, 136] Operation: 37+99=136 Exploring Operation: 60-37=23, Resulting Numbers: [99, 23] Generated Node #0,3,1: 83:[99, 23] Operation: 60-37=23 Exploring Operation: 99-37=62, Resulting Numbers: [60, 62] Generated Node #0,3,2: 83:[60, 62] Operation: 99-37=62 Exploring Operation: 60+37=97, Resulting Numbers: [99, 97] Generated Node #0,3,3: 83:[99, 97] Operation: 60+37=97 Exploring Operation: 99-60=39, Resulting Numbers: [37, 39] Generated Node #0,3,4: 83:[37, 39] Operation: 99-60=39 Moving to Node #0,0 Current State: 83:[37, 74, 35], Operations: ['60-25=35'] Exploring Operation: 74-35=39, Resulting Numbers: [37, 39] Generated Node #0,0,0: 83:[37, 39] Operation: 74-35=39 Exploring Operation: 37+74=111, Resulting Numbers: [35, 111] Generated Node #0,0,1: 83:[35, 111] Operation: 37+74=111 Exploring Operation: 74+35=109, Resulting Numbers: [37, 109] Generated Node #0,0,2: 83:[37, 109] Operation: 74+35=109 Exploring Operation: 37+35=72, Resulting Numbers: [74, 72] Generated Node #0,0,3: 83:[74, 72] Operation: 37+35=72 Exploring Operation: 37-35=2, Resulting Numbers: [74, 2] Generated Node #0,0,4: 83:[74, 2] Operation: 37-35=2 Moving to Node #0,4,4 Current State: 83:[74, 72], Operations: ['60+37=97', '97-25=72'] Exploring Operation: 7472=5328, Resulting Numbers: [5328] 5328,83 unequal: No Solution Exploring Operation: 74-72=2, Resulting Numbers: [2] 2,83 unequal: No Solution Exploring Operation: 74+72=146, Resulting Numbers: [146] 146,83 unequal: No Solution Moving to Node #0,0,3 Current State: 83:[74, 72], Operations: ['60-25=35', '37+35=72'] Exploring Operation: 74-72=2, Resulting Numbers: [2] 2,83 unequal: No Solution Exploring Operation: 7472=5328, Resulting Numbers: [5328] 5328,83 unequal: No Solution Exploring Operation: 74+72=146, Resulting Numbers: [146] 146,83 unequal: No Solution Moving to Node #0,4,1 Current State: 83:[97, 99], Operations: ['60+37=97', '25+74=99'] Exploring Operation: 9799=9603, Resulting Numbers: [9603] 9603,83 unequal: No Solution Exploring Operation: 97+99=196, Resulting Numbers: [196] 196,83 unequal: No Solution Exploring Operation: 99-97=2, Resulting Numbers: [2] 2,83 unequal: No Solution Moving to Node #0,1,3 Current State: 83:[85, 111], Operations: ['60+25=85', '37+74=111'] Exploring Operation: 111-85=26, Resulting Numbers: [26] 26,83 unequal: No Solution Exploring Operation: 85+111=196, Resulting Numbers: [196] 196,83 unequal: No Solution Exploring Operation: 85111=9435, Resulting Numbers: [9435] 9435,83 unequal: No Solution Moving to Node #0,3,3 Current State: 83:[99, 97], Operations: ['25+74=99', '60+37=97'] Exploring Operation: 99-97=2, Resulting Numbers: [2] 2,83 unequal: No Solution Exploring Operation: 99+97=196, Resulting Numbers: [196] 196,83 unequal: No Solution Exploring Operation: 9997=9603, Resulting Numbers: [9603] 9603,83 unequal: No Solution Moving to Node #0,1,4 Current State: 83:[74, 48], Operations: ['60+25=85', '85-37=48'] Exploring Operation: 7448=3552, Resulting Numbers: [3552] 3552,83 unequal: No Solution Exploring Operation: 74+48=122, Resulting Numbers: [122] 122,83 unequal: No Solution Exploring Operation: 74-48=26, Resulting Numbers: [26] 26,83 unequal: No Solution Moving to Node #0,3,2 Current State: 83:[60, 62], Operations: ['25+74=99', '99-37=62'] Exploring Operation: 60+62=122, Resulting Numbers: [122] 122,83 unequal: No Solution Exploring Operation: 62-60=2, Resulting Numbers: [2] 2,83 unequal: No Solution Exploring Operation: 6062=3720, Resulting Numbers: [3720] 3720,83 unequal: No Solution Moving to Node #0,2,3 Current State: 83:[74, 122], Operations: ['37+25=62', '60+62=122'] Exploring Operation: 74+122=196, Resulting Numbers: [196] 196,83 unequal: No Solution Exploring Operation: 74122=9028, Resulting Numbers: [9028] 9028,83 unequal: No Solution Exploring Operation: 122-74=48, Resulting Numbers: [48] 48,83 unequal: No Solution Moving to Node #0,4,3 Current State: 83:[97, 49], Operations: ['60+37=97', '74-25=49'] Exploring Operation: 9749=4753, Resulting Numbers: [4753] 4753,83 unequal: No Solution Exploring Operation: 97-49=48, Resulting Numbers: [48] 48,83 unequal: No Solution Exploring Operation: 97+49=146, Resulting Numbers: [146] 146,83 unequal: No Solution Moving to Node #0,4,2 Current State: 83:[74, 122], Operations: ['60+37=97', '25+97=122'] Exploring Operation: 74+122=196, Resulting Numbers: [196] 196,83 unequal: No Solution Exploring Operation: 74122=9028, Resulting Numbers: [9028] 9028,83 unequal: No Solution Exploring Operation: 122-74=48, Resulting Numbers: [48] 48,83 unequal: No Solution Moving to Node #0,1,0 Current State: 83:[74, 122], Operations: ['60+25=85', '37+85=122'] Exploring Operation: 74+122=196, Resulting Numbers: [196] 196,83 unequal: No Solution Exploring Operation: 74122=9028, Resulting Numbers: [9028] 9028,83 unequal: No Solution Exploring Operation: 122-74=48, Resulting Numbers: [48] 48,83 unequal: No Solution Moving to Node #0,1,2 Current State: 83:[85, 37], Operations: ['60+25=85', '74-37=37'] Exploring Operation: 8537=3145, Resulting Numbers: [3145] 3145,83 unequal: No Solution Exploring Operation: 85+37=122, Resulting Numbers: [122] 122,83 unequal: No Solution Exploring Operation: 85-37=48, Resulting Numbers: [48] 48,83 unequal: No Solution Moving to Node #0,0,2 Current State: 83:[37, 109], Operations: ['60-25=35', '74+35=109'] Exploring Operation: 109-37=72, Resulting Numbers: [72] 72,83 unequal: No Solution Exploring Operation: 37+109=146, Resulting Numbers: [146] 146,83 unequal: No Solution Exploring Operation: 37109=4033, Resulting Numbers: [4033] 4033,83 unequal: No Solution Moving to Node #0,2,2 Current State: 83:[62, 134], Operations: ['37+25=62', '60+74=134'] Exploring Operation: 62134=8308, Resulting Numbers: [8308] 8308,83 unequal: No Solution Exploring Operation: 134-62=72, Resulting Numbers: [72] 72,83 unequal: No Solution Exploring Operation: 62+134=196, Resulting Numbers: [196] 196,83 unequal: No Solution Moving to Node #0,3,1 Current State: 83:[99, 23], Operations: ['25+74=99', '60-37=23'] Exploring Operation: 9923=2277, Resulting Numbers: [2277] 2277,83 unequal: No Solution Exploring Operation: 99+23=122, Resulting Numbers: [122] 122,83 unequal: No Solution Exploring Operation: 99-23=76, Resulting Numbers: [76] 76,83 unequal: No Solution Moving to Node #0,2,1 Current State: 83:[60, 136], Operations: ['37+25=62', '74+62=136'] Exploring Operation: 60136=8160, Resulting Numbers: [8160] 8160,83 unequal: No Solution Exploring Operation: 60+136=196, Resulting Numbers: [196] 196,83 unequal: No Solution Exploring Operation: 136-60=76, Resulting Numbers: [76] 76,83 unequal: No Solution Moving to Node #0,3,0 Current State: 83:[60, 136], Operations: ['25+74=99', '37+99=136'] Exploring Operation: 60136=8160, Resulting Numbers: [8160] 8160,83 unequal: No Solution Exploring Operation: 136-60=76, Resulting Numbers: [76] 76,83 unequal: No Solution Exploring Operation: 60+136=196, Resulting Numbers: [196] 196,83 unequal: No Solution Moving to Node #0,0,1 Current State: 83:[35, 111], Operations: ['60-25=35', '37+74=111'] Exploring Operation: 35+111=146, Resulting Numbers: [146] 146,83 unequal: No Solution Exploring Operation: 111-35=76, Resulting Numbers: [76] 76,83 unequal: No Solution Exploring Operation: 35111=3885, Resulting Numbers: [3885] 3885,83 unequal: No Solution Moving to Node #0,1,1 Current State: 83:[85, 2], Operations: ['60+25=85', '74/37=2'] Exploring Operation: 85*2=170, Resulting Numbers: [170] 170,83 unequal: No Solution Exploring Operation: 85+2=87, Resulting Numbers: [87] 87,83 unequal: No Solution Exploring Operation: 85-2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached Moving to Node #0 Current State: 83:[60, 37, 25, 74], Operations: [] Exploring Operation: 60+25=85, Resulting Numbers: [37, 74, 85] Generated Node #0,1: 83:[37, 74, 85] Operation: 60+25=85 Moving to Node #0,1 Current State: 83:[37, 74, 85], Operations: ['60+25=85'] Exploring Operation: 74/37=2, Resulting Numbers: [85, 2] Generated Node #0,1,1: 83:[85, 2] Operation: 74/37=2 Moving to Node #0,1,1 Current State: 83:[85, 2], Operations: ['60+25=85', '74/37=2'] Exploring Operation: 85-2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached	0.921007	hs_5	sum_heuristic
[ 85, 59, 5, 1 ]	31	[ "85-59=26", "5*1=5", "26+5=31" ]	Current State: 31:[85, 59, 5, 1], Operations: [] Exploring Operation: 85-59=26, Resulting Numbers: [5, 1, 26] Generated Node #2: [5, 1, 26] from Operation: 85-59=26 Current State: 31:[5, 1, 26], Operations: ['85-59=26'] Exploring Operation: 51=5, Resulting Numbers: [26, 5] Generated Node #3: [26, 5] from Operation: 51=5 Current State: 31:[26, 5], Operations: ['85-59=26', '5*1=5'] Exploring Operation: 26+5=31, Resulting Numbers: [31] 31,31 equal: Goal Reached	4	Current State: 31:[85, 59, 5, 1], Operations: [] Exploring Operation: 85/5=17, Resulting Numbers: [59, 1, 17] Generated Node #0,0: 31:[59, 1, 17] Operation: 85/5=17 Exploring Operation: 85-59=26, Resulting Numbers: [5, 1, 26] Generated Node #0,1: 31:[5, 1, 26] Operation: 85-59=26 Exploring Operation: 85-5=80, Resulting Numbers: [59, 1, 80] Generated Node #0,2: 31:[59, 1, 80] Operation: 85-5=80 Exploring Operation: 85-1=84, Resulting Numbers: [59, 5, 84] Generated Node #0,3: 31:[59, 5, 84] Operation: 85-1=84 Moving to Node #0,1 Current State: 31:[5, 1, 26], Operations: ['85-59=26'] Exploring Operation: 1+26=27, Resulting Numbers: [5, 27] Generated Node #0,1,0: 31:[5, 27] Operation: 1+26=27 Exploring Operation: 5+26=31, Resulting Numbers: [1, 31] Generated Node #0,1,1: 31:[1, 31] Operation: 5+26=31 Exploring Operation: 51=5, Resulting Numbers: [26, 5] Generated Node #0,1,2: 31:[26, 5] Operation: 51=5 Exploring Operation: 5+1=6, Resulting Numbers: [26, 6] Generated Node #0,1,3: 31:[26, 6] Operation: 5+1=6 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 31:[5, 27], Operations: ['85-59=26', '1+26=27'] Exploring Operation: 27-5=22, Resulting Numbers: [22] 22,31 unequal: No Solution Exploring Operation: 5*27=135, Resulting Numbers: [135] 135,31 unequal: No Solution Exploring Operation: 5+27=32, Resulting Numbers: [32] 32,31 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 31:[1, 31], Operations: ['85-59=26', '5+26=31'] Exploring Operation: 31/1=31, Resulting Numbers: [31] 31,31 equal: Goal Reached Moving to Node #0 Current State: 31:[85, 59, 5, 1], Operations: [] Exploring Operation: 85-59=26, Resulting Numbers: [5, 1, 26] Generated Node #0,1: 31:[5, 1, 26] Operation: 85-59=26 Moving to Node #0,1 Current State: 31:[5, 1, 26], Operations: ['85-59=26'] Exploring Operation: 5+26=31, Resulting Numbers: [1, 31] Generated Node #0,1,1: 31:[1, 31] Operation: 5+26=31 Moving to Node #0,1,1 Current State: 31:[1, 31], Operations: ['85-59=26', '5+26=31'] Exploring Operation: 31/1=31, Resulting Numbers: [31] 31,31 equal: Goal Reached Exit Sub Search at level 1	0.986111	hs_4	mult_heuristic
[ 61, 83, 16, 93 ]	99	[ "83-61=22", "93-16=77", "22+77=99" ]	Current State: 99:[61, 83, 16, 93], Operations: [] Exploring Operation: 83-61=22, Resulting Numbers: [16, 93, 22] Generated Node #2: [16, 93, 22] from Operation: 83-61=22 Current State: 99:[16, 93, 22], Operations: ['83-61=22'] Exploring Operation: 93-16=77, Resulting Numbers: [22, 77] Generated Node #3: [22, 77] from Operation: 93-16=77 Current State: 99:[22, 77], Operations: ['83-61=22', '93-16=77'] Exploring Operation: 22+77=99, Resulting Numbers: [99] 99,99 equal: Goal Reached	4	Current State: 99:[61, 83, 16, 93], Operations: [] Exploring Operation: 83-61=22, Resulting Numbers: [16, 93, 22] Generated Node #0,0: 99:[16, 93, 22] Operation: 83-61=22 Start Sub Search at level 1: Moving to Node #0,0 Current State: 99:[16, 93, 22], Operations: ['83-61=22'] Exploring Operation: 22-16=6, Resulting Numbers: [93, 6] Generated Node #0,0,0: 99:[93, 6] Operation: 22-16=6 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 99:[93, 6], Operations: ['83-61=22', '22-16=6'] Exploring Operation: 93+6=99, Resulting Numbers: [99] 99,99 equal: Goal Reached Moving to Node #0 Current State: 99:[61, 83, 16, 93], Operations: [] Exploring Operation: 83-61=22, Resulting Numbers: [16, 93, 22] Generated Node #0,0: 99:[16, 93, 22] Operation: 83-61=22 Moving to Node #0,0 Current State: 99:[16, 93, 22], Operations: ['83-61=22'] Exploring Operation: 22-16=6, Resulting Numbers: [93, 6] Generated Node #0,0,0: 99:[93, 6] Operation: 22-16=6 Moving to Node #0,0,0 Current State: 99:[93, 6], Operations: ['83-61=22', '22-16=6'] Exploring Operation: 93+6=99, Resulting Numbers: [99] 99,99 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.993924	hs_1	mult_heuristic
[ 90, 75, 43, 41 ]	81	[ "90+75=165", "43+41=84", "165-84=81" ]	Current State: 81:[90, 75, 43, 41], Operations: [] Exploring Operation: 90+75=165, Resulting Numbers: [43, 41, 165] Generated Node #2: [43, 41, 165] from Operation: 90+75=165 Current State: 81:[43, 41, 165], Operations: ['90+75=165'] Exploring Operation: 43+41=84, Resulting Numbers: [165, 84] Generated Node #3: [165, 84] from Operation: 43+41=84 Current State: 81:[165, 84], Operations: ['90+75=165', '43+41=84'] Exploring Operation: 165-84=81, Resulting Numbers: [81] 81,81 equal: Goal Reached	4	Current State: 81:[90, 75, 43, 41], Operations: [] Exploring Operation: 75-41=34, Resulting Numbers: [90, 43, 34] Generated Node #0,0: 81:[90, 43, 34] Operation: 75-41=34 Exploring Operation: 75-43=32, Resulting Numbers: [90, 41, 32] Generated Node #0,1: 81:[90, 41, 32] Operation: 75-43=32 Exploring Operation: 43+41=84, Resulting Numbers: [90, 75, 84] Generated Node #0,2: 81:[90, 75, 84] Operation: 43+41=84 Exploring Operation: 43-41=2, Resulting Numbers: [90, 75, 2] Generated Node #0,3: 81:[90, 75, 2] Operation: 43-41=2 Start Sub Search at level 1: Moving to Node #0,3 Current State: 81:[90, 75, 2], Operations: ['43-41=2'] Exploring Operation: 75+2=77, Resulting Numbers: [90, 77] Generated Node #0,3,0: 81:[90, 77] Operation: 75+2=77 Exploring Operation: 90-2=88, Resulting Numbers: [75, 88] Generated Node #0,3,1: 81:[75, 88] Operation: 90-2=88 Exploring Operation: 90+2=92, Resulting Numbers: [75, 92] Generated Node #0,3,2: 81:[75, 92] Operation: 90+2=92 Exploring Operation: 90-75=15, Resulting Numbers: [2, 15] Generated Node #0,3,3: 81:[2, 15] Operation: 90-75=15 Moving to Node #0,3,3 Current State: 81:[2, 15], Operations: ['43-41=2', '90-75=15'] Exploring Operation: 215=30, Resulting Numbers: [30] 30,81 unequal: No Solution Exploring Operation: 15-2=13, Resulting Numbers: [13] 13,81 unequal: No Solution Exploring Operation: 2+15=17, Resulting Numbers: [17] 17,81 unequal: No Solution Moving to Node #0,3,1 Current State: 81:[75, 88], Operations: ['43-41=2', '90-2=88'] Exploring Operation: 75+88=163, Resulting Numbers: [163] 163,81 unequal: No Solution Exploring Operation: 88-75=13, Resulting Numbers: [13] 13,81 unequal: No Solution Exploring Operation: 7588=6600, Resulting Numbers: [6600] 6600,81 unequal: No Solution Moving to Node #0,3,0 Current State: 81:[90, 77], Operations: ['43-41=2', '75+2=77'] Exploring Operation: 9077=6930, Resulting Numbers: [6930] 6930,81 unequal: No Solution Exploring Operation: 90+77=167, Resulting Numbers: [167] 167,81 unequal: No Solution Exploring Operation: 90-77=13, Resulting Numbers: [13] 13,81 unequal: No Solution Moving to Node #0,3,2 Current State: 81:[75, 92], Operations: ['43-41=2', '90+2=92'] Exploring Operation: 7592=6900, Resulting Numbers: [6900] 6900,81 unequal: No Solution Exploring Operation: 75+92=167, Resulting Numbers: [167] 167,81 unequal: No Solution Exploring Operation: 92-75=17, Resulting Numbers: [17] 17,81 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 81:[90, 75, 84], Operations: ['43+41=84'] Exploring Operation: 84-75=9, Resulting Numbers: [90, 9] Generated Node #0,2,0: 81:[90, 9] Operation: 84-75=9 Exploring Operation: 90-84=6, Resulting Numbers: [75, 6] Generated Node #0,2,1: 81:[75, 6] Operation: 90-84=6 Exploring Operation: 90-75=15, Resulting Numbers: [84, 15] Generated Node #0,2,2: 81:[84, 15] Operation: 90-75=15 Exploring Operation: 90+75=165, Resulting Numbers: [84, 165] Generated Node #0,2,3: 81:[84, 165] Operation: 90+75=165 Moving to Node #0,2,0 Current State: 81:[90, 9], Operations: ['43+41=84', '84-75=9'] Exploring Operation: 90/9=10, Resulting Numbers: [10] 10,81 unequal: No Solution Exploring Operation: 90+9=99, Resulting Numbers: [99] 99,81 unequal: No Solution Exploring Operation: 90*9=810, Resulting Numbers: [810] 810,81 unequal: No Solution Exploring Operation: 90-9=81, Resulting Numbers: [81] 81,81 equal: Goal Reached Moving to Node #0 Current State: 81:[90, 75, 43, 41], Operations: [] Exploring Operation: 43+41=84, Resulting Numbers: [90, 75, 84] Generated Node #0,2: 81:[90, 75, 84] Operation: 43+41=84 Moving to Node #0,2 Current State: 81:[90, 75, 84], Operations: ['43+41=84'] Exploring Operation: 84-75=9, Resulting Numbers: [90, 9] Generated Node #0,2,0: 81:[90, 9] Operation: 84-75=9 Moving to Node #0,2,0 Current State: 81:[90, 9], Operations: ['43+41=84', '84-75=9'] Exploring Operation: 90-9=81, Resulting Numbers: [81] 81,81 equal: Goal Reached Exit Sub Search at level 1	0.972222	hs_4	sum_heuristic
[ 7, 57, 11, 82 ]	62	[ "7*11=77", "57+82=139", "139-77=62" ]	Current State: 62:[7, 57, 11, 82], Operations: [] Exploring Operation: 711=77, Resulting Numbers: [57, 82, 77] Generated Node #2: [57, 82, 77] from Operation: 711=77 Current State: 62:[57, 82, 77], Operations: ['711=77'] Exploring Operation: 57+82=139, Resulting Numbers: [77, 139] Generated Node #3: [77, 139] from Operation: 57+82=139 Current State: 62:[77, 139], Operations: ['711=77', '57+82=139'] Exploring Operation: 139-77=62, Resulting Numbers: [62] 62,62 equal: Goal Reached	4	Current State: 62:[7, 57, 11, 82], Operations: [] Exploring Operation: 82-11=71, Resulting Numbers: [7, 57, 71] Generated Node #0,0: 62:[7, 57, 71] Operation: 82-11=71 Exploring Operation: 82-57=25, Resulting Numbers: [7, 11, 25] Generated Node #0,1: 62:[7, 11, 25] Operation: 82-57=25 Start Sub Search at level 1: Moving to Node #0,0 Current State: 62:[7, 57, 71], Operations: ['82-11=71'] Exploring Operation: 7+57=64, Resulting Numbers: [71, 64] Generated Node #0,0,0: 62:[71, 64] Operation: 7+57=64 Exploring Operation: 71-7=64, Resulting Numbers: [57, 64] Generated Node #0,0,1: 62:[57, 64] Operation: 71-7=64 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 62:[57, 64], Operations: ['82-11=71', '71-7=64'] Exploring Operation: 57+64=121, Resulting Numbers: [121] 121,62 unequal: No Solution Exploring Operation: 64-57=7, Resulting Numbers: [7] 7,62 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 62:[71, 64], Operations: ['82-11=71', '7+57=64'] Exploring Operation: 71-64=7, Resulting Numbers: [7] 7,62 unequal: No Solution Exploring Operation: 71+64=135, Resulting Numbers: [135] 135,62 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 62:[7, 11, 25], Operations: ['82-57=25'] Exploring Operation: 11-7=4, Resulting Numbers: [25, 4] Generated Node #0,1,0: 62:[25, 4] Operation: 11-7=4 Exploring Operation: 7+25=32, Resulting Numbers: [11, 32] Generated Node #0,1,1: 62:[11, 32] Operation: 7+25=32 Moving to Node #0,1,0 Current State: 62:[25, 4], Operations: ['82-57=25', '11-7=4'] Exploring Operation: 25+4=29, Resulting Numbers: [29] 29,62 unequal: No Solution Exploring Operation: 25-4=21, Resulting Numbers: [21] 21,62 unequal: No Solution Moving to Node #0,1,1 Current State: 62:[11, 32], Operations: ['82-57=25', '7+25=32'] Exploring Operation: 32-11=21, Resulting Numbers: [21] 21,62 unequal: No Solution Exploring Operation: 11+32=43, Resulting Numbers: [43] 43,62 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_2	sum_heuristic
[ 64, 28, 73, 91 ]	18	[ "64-28=36", "91-73=18", "36-18=18" ]	Current State: 18:[64, 28, 73, 91], Operations: [] Exploring Operation: 64-28=36, Resulting Numbers: [73, 91, 36] Generated Node #2: [73, 91, 36] from Operation: 64-28=36 Current State: 18:[73, 91, 36], Operations: ['64-28=36'] Exploring Operation: 91-73=18, Resulting Numbers: [36, 18] Generated Node #3: [36, 18] from Operation: 91-73=18 Current State: 18:[36, 18], Operations: ['64-28=36', '91-73=18'] Exploring Operation: 36-18=18, Resulting Numbers: [18] 18,18 equal: Goal Reached	4	Current State: 18:[64, 28, 73, 91], Operations: [] Exploring Operation: 73-64=9, Resulting Numbers: [28, 91, 9] Generated Node #0,0: 18:[28, 91, 9] Operation: 73-64=9 Exploring Operation: 91-64=27, Resulting Numbers: [28, 73, 27] Generated Node #0,1: 18:[28, 73, 27] Operation: 91-64=27 Exploring Operation: 64-28=36, Resulting Numbers: [73, 91, 36] Generated Node #0,2: 18:[73, 91, 36] Operation: 64-28=36 Exploring Operation: 91-73=18, Resulting Numbers: [64, 28, 18] Generated Node #0,3: 18:[64, 28, 18] Operation: 91-73=18 Start Sub Search at level 1: Moving to Node #0,3 Current State: 18:[64, 28, 18], Operations: ['91-73=18'] Exploring Operation: 64-18=46, Resulting Numbers: [28, 46] Generated Node #0,3,0: 18:[28, 46] Operation: 64-18=46 Exploring Operation: 64+28=92, Resulting Numbers: [18, 92] Generated Node #0,3,1: 18:[18, 92] Operation: 64+28=92 Exploring Operation: 64-28=36, Resulting Numbers: [18, 36] Generated Node #0,3,2: 18:[18, 36] Operation: 64-28=36 Exploring Operation: 28-18=10, Resulting Numbers: [64, 10] Generated Node #0,3,3: 18:[64, 10] Operation: 28-18=10 Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 18:[18, 36], Operations: ['91-73=18', '64-28=36'] Exploring Operation: 36-18=18, Resulting Numbers: [18] 18,18 equal: Goal Reached Moving to Node #0 Current State: 18:[64, 28, 73, 91], Operations: [] Exploring Operation: 91-73=18, Resulting Numbers: [64, 28, 18] Generated Node #0,3: 18:[64, 28, 18] Operation: 91-73=18 Moving to Node #0,3 Current State: 18:[64, 28, 18], Operations: ['91-73=18'] Exploring Operation: 64-28=36, Resulting Numbers: [18, 36] Generated Node #0,3,2: 18:[18, 36] Operation: 64-28=36 Moving to Node #0,3,2 Current State: 18:[18, 36], Operations: ['91-73=18', '64-28=36'] Exploring Operation: 36-18=18, Resulting Numbers: [18] 18,18 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.988715	hs_4	sum_heuristic
[ 61, 50, 95, 3 ]	87	[ "61-50=11", "95+3=98", "98-11=87" ]	Current State: 87:[61, 50, 95, 3], Operations: [] Exploring Operation: 61-50=11, Resulting Numbers: [95, 3, 11] Generated Node #2: [95, 3, 11] from Operation: 61-50=11 Current State: 87:[95, 3, 11], Operations: ['61-50=11'] Exploring Operation: 95+3=98, Resulting Numbers: [11, 98] Generated Node #3: [11, 98] from Operation: 95+3=98 Current State: 87:[11, 98], Operations: ['61-50=11', '95+3=98'] Exploring Operation: 98-11=87, Resulting Numbers: [87] 87,87 equal: Goal Reached	4	Current State: 87:[61, 50, 95, 3], Operations: [] Exploring Operation: 95-50=45, Resulting Numbers: [61, 3, 45] Generated Node #0,0: 87:[61, 3, 45] Operation: 95-50=45 Exploring Operation: 61+50=111, Resulting Numbers: [95, 3, 111] Generated Node #0,1: 87:[95, 3, 111] Operation: 61+50=111 Exploring Operation: 61+3=64, Resulting Numbers: [50, 95, 64] Generated Node #0,2: 87:[50, 95, 64] Operation: 61+3=64 Exploring Operation: 61-50=11, Resulting Numbers: [95, 3, 11] Generated Node #0,3: 87:[95, 3, 11] Operation: 61-50=11 Exploring Operation: 95-61=34, Resulting Numbers: [50, 3, 34] Generated Node #0,4: 87:[50, 3, 34] Operation: 95-61=34 Start Sub Search at level 1: Moving to Node #0,3 Current State: 87:[95, 3, 11], Operations: ['61-50=11'] Exploring Operation: 11-3=8, Resulting Numbers: [95, 8] Generated Node #0,3,0: 87:[95, 8] Operation: 11-3=8 Exploring Operation: 95+3=98, Resulting Numbers: [11, 98] Generated Node #0,3,1: 87:[11, 98] Operation: 95+3=98 Exploring Operation: 95-3=92, Resulting Numbers: [11, 92] Generated Node #0,3,2: 87:[11, 92] Operation: 95-3=92 Exploring Operation: 311=33, Resulting Numbers: [95, 33] Generated Node #0,3,3: 87:[95, 33] Operation: 311=33 Exploring Operation: 95-11=84, Resulting Numbers: [3, 84] Generated Node #0,3,4: 87:[3, 84] Operation: 95-11=84 Start Sub Search at level 2: Moving to Node #0,3,4 Current State: 87:[3, 84], Operations: ['61-50=11', '95-11=84'] Exploring Operation: 84/3=28, Resulting Numbers: [28] 28,87 unequal: No Solution Exploring Operation: 3*84=252, Resulting Numbers: [252] 252,87 unequal: No Solution Exploring Operation: 84-3=81, Resulting Numbers: [81] 81,87 unequal: No Solution Exploring Operation: 3+84=87, Resulting Numbers: [87] 87,87 equal: Goal Reached Moving to Node #0 Current State: 87:[61, 50, 95, 3], Operations: [] Exploring Operation: 61-50=11, Resulting Numbers: [95, 3, 11] Generated Node #0,3: 87:[95, 3, 11] Operation: 61-50=11 Moving to Node #0,3 Current State: 87:[95, 3, 11], Operations: ['61-50=11'] Exploring Operation: 95-11=84, Resulting Numbers: [3, 84] Generated Node #0,3,4: 87:[3, 84] Operation: 95-11=84 Moving to Node #0,3,4 Current State: 87:[3, 84], Operations: ['61-50=11', '95-11=84'] Exploring Operation: 3+84=87, Resulting Numbers: [87] 87,87 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.984375	hs_5	mult_heuristic
[ 26, 6, 92, 6 ]	82	[ "26+92=118", "6*6=36", "118-36=82" ]	Current State: 82:[26, 6, 92, 6], Operations: [] Exploring Operation: 26+92=118, Resulting Numbers: [6, 6, 118] Generated Node #2: [6, 6, 118] from Operation: 26+92=118 Current State: 82:[6, 6, 118], Operations: ['26+92=118'] Exploring Operation: 66=36, Resulting Numbers: [118, 36] Generated Node #3: [118, 36] from Operation: 66=36 Current State: 82:[118, 36], Operations: ['26+92=118', '6*6=36'] Exploring Operation: 118-36=82, Resulting Numbers: [82] 82,82 equal: Goal Reached	4	Current State: 82:[26, 6, 92, 6], Operations: [] Exploring Operation: 92-6=86, Resulting Numbers: [26, 6, 86] Generated Node #0,0: 82:[26, 6, 86] Operation: 92-6=86 Exploring Operation: 92-6=86, Resulting Numbers: [26, 6, 86] Generated Node #0,1: 82:[26, 6, 86] Operation: 92-6=86 Exploring Operation: 26+6=32, Resulting Numbers: [92, 6, 32] Generated Node #0,2: 82:[92, 6, 32] Operation: 26+6=32 Exploring Operation: 26+6=32, Resulting Numbers: [6, 92, 32] Generated Node #0,3: 82:[6, 92, 32] Operation: 26+6=32 Start Sub Search at level 1: Moving to Node #0,0 Current State: 82:[26, 6, 86], Operations: ['92-6=86'] Exploring Operation: 26+6=32, Resulting Numbers: [86, 32] Generated Node #0,0,0: 82:[86, 32] Operation: 26+6=32 Exploring Operation: 86-26=60, Resulting Numbers: [6, 60] Generated Node #0,0,1: 82:[6, 60] Operation: 86-26=60 Exploring Operation: 26-6=20, Resulting Numbers: [86, 20] Generated Node #0,0,2: 82:[86, 20] Operation: 26-6=20 Exploring Operation: 86-6=80, Resulting Numbers: [26, 80] Generated Node #0,0,3: 82:[26, 80] Operation: 86-6=80 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 82:[86, 32], Operations: ['92-6=86', '26+6=32'] Exploring Operation: 86-32=54, Resulting Numbers: [54] 54,82 unequal: No Solution Exploring Operation: 8632=2752, Resulting Numbers: [2752] 2752,82 unequal: No Solution Exploring Operation: 86+32=118, Resulting Numbers: [118] 118,82 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 82:[26, 80], Operations: ['92-6=86', '86-6=80'] Exploring Operation: 2680=2080, Resulting Numbers: [2080] 2080,82 unequal: No Solution Exploring Operation: 26+80=106, Resulting Numbers: [106] 106,82 unequal: No Solution Exploring Operation: 80-26=54, Resulting Numbers: [54] 54,82 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 82:[86, 20], Operations: ['92-6=86', '26-6=20'] Exploring Operation: 86-20=66, Resulting Numbers: [66] 66,82 unequal: No Solution Exploring Operation: 8620=1720, Resulting Numbers: [1720] 1720,82 unequal: No Solution Exploring Operation: 86+20=106, Resulting Numbers: [106] 106,82 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 82:[6, 60], Operations: ['92-6=86', '86-26=60'] Exploring Operation: 6+60=66, Resulting Numbers: [66] 66,82 unequal: No Solution Exploring Operation: 60-6=54, Resulting Numbers: [54] 54,82 unequal: No Solution Exploring Operation: 60/6=10, Resulting Numbers: [10] 10,82 unequal: No Solution Exploring Operation: 660=360, Resulting Numbers: [360] 360,82 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 82:[26, 6, 86], Operations: ['92-6=86'] Exploring Operation: 86-26=60, Resulting Numbers: [6, 60] Generated Node #0,1,0: 82:[6, 60] Operation: 86-26=60 Exploring Operation: 86-6=80, Resulting Numbers: [26, 80] Generated Node #0,1,1: 82:[26, 80] Operation: 86-6=80 Exploring Operation: 26+6=32, Resulting Numbers: [86, 32] Generated Node #0,1,2: 82:[86, 32] Operation: 26+6=32 Exploring Operation: 26-6=20, Resulting Numbers: [86, 20] Generated Node #0,1,3: 82:[86, 20] Operation: 26-6=20 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 82:[86, 32], Operations: ['92-6=86', '26+6=32'] Exploring Operation: 86-32=54, Resulting Numbers: [54] 54,82 unequal: No Solution Exploring Operation: 86+32=118, Resulting Numbers: [118] 118,82 unequal: No Solution Exploring Operation: 8632=2752, Resulting Numbers: [2752] 2752,82 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 82:[26, 80], Operations: ['92-6=86', '86-6=80'] Exploring Operation: 2680=2080, Resulting Numbers: [2080] 2080,82 unequal: No Solution Exploring Operation: 26+80=106, Resulting Numbers: [106] 106,82 unequal: No Solution Exploring Operation: 80-26=54, Resulting Numbers: [54] 54,82 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 82:[86, 20], Operations: ['92-6=86', '26-6=20'] Exploring Operation: 8620=1720, Resulting Numbers: [1720] 1720,82 unequal: No Solution Exploring Operation: 86-20=66, Resulting Numbers: [66] 66,82 unequal: No Solution Exploring Operation: 86+20=106, Resulting Numbers: [106] 106,82 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 82:[6, 60], Operations: ['92-6=86', '86-26=60'] Exploring Operation: 660=360, Resulting Numbers: [360] 360,82 unequal: No Solution Exploring Operation: 60/6=10, Resulting Numbers: [10] 10,82 unequal: No Solution Exploring Operation: 6+60=66, Resulting Numbers: [66] 66,82 unequal: No Solution Exploring Operation: 60-6=54, Resulting Numbers: [54] 54,82 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 82:[92, 6, 32], Operations: ['26+6=32'] Exploring Operation: 92-6=86, Resulting Numbers: [32, 86] Generated Node #0,2,0: 82:[32, 86] Operation: 92-6=86 Exploring Operation: 92-32=60, Resulting Numbers: [6, 60] Generated Node #0,2,1: 82:[6, 60] Operation: 92-32=60 Exploring Operation: 6+32=38, Resulting Numbers: [92, 38] Generated Node #0,2,2: 82:[92, 38] Operation: 6+32=38 Exploring Operation: 92+6=98, Resulting Numbers: [32, 98] Generated Node #0,2,3: 82:[32, 98] Operation: 92+6=98 Moving to Node #0,2,0 Current State: 82:[32, 86], Operations: ['26+6=32', '92-6=86'] Exploring Operation: 86-32=54, Resulting Numbers: [54] 54,82 unequal: No Solution Exploring Operation: 3286=2752, Resulting Numbers: [2752] 2752,82 unequal: No Solution Exploring Operation: 32+86=118, Resulting Numbers: [118] 118,82 unequal: No Solution Moving to Node #0,2,2 Current State: 82:[92, 38], Operations: ['26+6=32', '6+32=38'] Exploring Operation: 92+38=130, Resulting Numbers: [130] 130,82 unequal: No Solution Exploring Operation: 9238=3496, Resulting Numbers: [3496] 3496,82 unequal: No Solution Exploring Operation: 92-38=54, Resulting Numbers: [54] 54,82 unequal: No Solution Moving to Node #0,2,1 Current State: 82:[6, 60], Operations: ['26+6=32', '92-32=60'] Exploring Operation: 6+60=66, Resulting Numbers: [66] 66,82 unequal: No Solution Exploring Operation: 60-6=54, Resulting Numbers: [54] 54,82 unequal: No Solution Exploring Operation: 60/6=10, Resulting Numbers: [10] 10,82 unequal: No Solution Exploring Operation: 660=360, Resulting Numbers: [360] 360,82 unequal: No Solution Moving to Node #0,2,3 Current State: 82:[32, 98], Operations: ['26+6=32', '92+6=98'] Exploring Operation: 98-32=66, Resulting Numbers: [66] 66,82 unequal: No Solution Exploring Operation: 32+98=130, Resulting Numbers: [130] 130,82 unequal: No Solution Exploring Operation: 3298=3136, Resulting Numbers: [3136] 3136,82 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 82:[6, 92, 32], Operations: ['26+6=32'] Exploring Operation: 6+32=38, Resulting Numbers: [92, 38] Generated Node #0,3,0: 82:[92, 38] Operation: 6+32=38 Exploring Operation: 92-32=60, Resulting Numbers: [6, 60] Generated Node #0,3,1: 82:[6, 60] Operation: 92-32=60 Exploring Operation: 6+92=98, Resulting Numbers: [32, 98] Generated Node #0,3,2: 82:[32, 98] Operation: 6+92=98 Exploring Operation: 92-6=86, Resulting Numbers: [32, 86] Generated Node #0,3,3: 82:[32, 86] Operation: 92-6=86 Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 82:[92, 38], Operations: ['26+6=32', '6+32=38'] Exploring Operation: 92-38=54, Resulting Numbers: [54] 54,82 unequal: No Solution Exploring Operation: 9238=3496, Resulting Numbers: [3496] 3496,82 unequal: No Solution Exploring Operation: 92+38=130, Resulting Numbers: [130] 130,82 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 82:[32, 86], Operations: ['26+6=32', '92-6=86'] Exploring Operation: 32+86=118, Resulting Numbers: [118] 118,82 unequal: No Solution Exploring Operation: 3286=2752, Resulting Numbers: [2752] 2752,82 unequal: No Solution Exploring Operation: 86-32=54, Resulting Numbers: [54] 54,82 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 82:[6, 60], Operations: ['26+6=32', '92-32=60'] Exploring Operation: 60-6=54, Resulting Numbers: [54] 54,82 unequal: No Solution Exploring Operation: 6+60=66, Resulting Numbers: [66] 66,82 unequal: No Solution Exploring Operation: 660=360, Resulting Numbers: [360] 360,82 unequal: No Solution Exploring Operation: 60/6=10, Resulting Numbers: [10] 10,82 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 82:[32, 98], Operations: ['26+6=32', '6+92=98'] Exploring Operation: 98-32=66, Resulting Numbers: [66] 66,82 unequal: No Solution Exploring Operation: 32+98=130, Resulting Numbers: [130] 130,82 unequal: No Solution Exploring Operation: 3298=3136, Resulting Numbers: [3136] 3136,82 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_4	sum_heuristic
[ 92, 13, 26, 45 ]	45	[ "92-45=47", "26/13=2", "47-2=45" ]	Current State: 45:[92, 13, 26, 45], Operations: [] Exploring Operation: 92-45=47, Resulting Numbers: [13, 26, 47] Generated Node #2: [13, 26, 47] from Operation: 92-45=47 Current State: 45:[13, 26, 47], Operations: ['92-45=47'] Exploring Operation: 26/13=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 26/13=2 Current State: 45:[47, 2], Operations: ['92-45=47', '26/13=2'] Exploring Operation: 47-2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached	4	Current State: 45:[92, 13, 26, 45], Operations: [] Exploring Operation: 92-26=66, Resulting Numbers: [13, 45, 66] Generated Node #0,0: 45:[13, 45, 66] Operation: 92-26=66 Exploring Operation: 26/13=2, Resulting Numbers: [92, 45, 2] Generated Node #0,1: 45:[92, 45, 2] Operation: 26/13=2 Exploring Operation: 92-13=79, Resulting Numbers: [26, 45, 79] Generated Node #0,2: 45:[26, 45, 79] Operation: 92-13=79 Exploring Operation: 26-13=13, Resulting Numbers: [92, 45, 13] Generated Node #0,3: 45:[92, 45, 13] Operation: 26-13=13 Exploring Operation: 92-45=47, Resulting Numbers: [13, 26, 47] Generated Node #0,4: 45:[13, 26, 47] Operation: 92-45=47 Moving to Node #0,4 Current State: 45:[13, 26, 47], Operations: ['92-45=47'] Exploring Operation: 47-26=21, Resulting Numbers: [13, 21] Generated Node #0,4,0: 45:[13, 21] Operation: 47-26=21 Exploring Operation: 26-13=13, Resulting Numbers: [47, 13] Generated Node #0,4,1: 45:[47, 13] Operation: 26-13=13 Exploring Operation: 47-13=34, Resulting Numbers: [26, 34] Generated Node #0,4,2: 45:[26, 34] Operation: 47-13=34 Exploring Operation: 13+26=39, Resulting Numbers: [47, 39] Generated Node #0,4,3: 45:[47, 39] Operation: 13+26=39 Exploring Operation: 26/13=2, Resulting Numbers: [47, 2] Generated Node #0,4,4: 45:[47, 2] Operation: 26/13=2 Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 45:[47, 2], Operations: ['92-45=47', '26/13=2'] Exploring Operation: 47-2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached Moving to Node #0 Current State: 45:[92, 13, 26, 45], Operations: [] Exploring Operation: 92-45=47, Resulting Numbers: [13, 26, 47] Generated Node #0,4: 45:[13, 26, 47] Operation: 92-45=47 Moving to Node #0,4 Current State: 45:[13, 26, 47], Operations: ['92-45=47'] Exploring Operation: 26/13=2, Resulting Numbers: [47, 2] Generated Node #0,4,4: 45:[47, 2] Operation: 26/13=2 Moving to Node #0,4,4 Current State: 45:[47, 2], Operations: ['92-45=47', '26/13=2'] Exploring Operation: 47-2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached Exit Sub Search at level 1	0.986979	hs_5	sum_heuristic
[ 54, 27, 92, 23 ]	88	[ "54-27=27", "92+23=115", "115-27=88" ]	Current State: 88:[54, 27, 92, 23], Operations: [] Exploring Operation: 54-27=27, Resulting Numbers: [92, 23, 27] Generated Node #2: [92, 23, 27] from Operation: 54-27=27 Current State: 88:[92, 23, 27], Operations: ['54-27=27'] Exploring Operation: 92+23=115, Resulting Numbers: [27, 115] Generated Node #3: [27, 115] from Operation: 92+23=115 Current State: 88:[27, 115], Operations: ['54-27=27', '92+23=115'] Exploring Operation: 115-27=88, Resulting Numbers: [88] 88,88 equal: Goal Reached	4	Current State: 88:[54, 27, 92, 23], Operations: [] Exploring Operation: 27-23=4, Resulting Numbers: [54, 92, 4] Generated Node #0,0: 88:[54, 92, 4] Operation: 27-23=4 Exploring Operation: 54/27=2, Resulting Numbers: [92, 23, 2] Generated Node #0,1: 88:[92, 23, 2] Operation: 54/27=2 Exploring Operation: 54-27=27, Resulting Numbers: [92, 23, 27] Generated Node #0,2: 88:[92, 23, 27] Operation: 54-27=27 Exploring Operation: 92-54=38, Resulting Numbers: [27, 23, 38] Generated Node #0,3: 88:[27, 23, 38] Operation: 92-54=38 Exploring Operation: 54+27=81, Resulting Numbers: [92, 23, 81] Generated Node #0,4: 88:[92, 23, 81] Operation: 54+27=81 Start Sub Search at level 1: Moving to Node #0,1 Current State: 88:[92, 23, 2], Operations: ['54/27=2'] Exploring Operation: 92-2=90, Resulting Numbers: [23, 90] Generated Node #0,1,0: 88:[23, 90] Operation: 92-2=90 Exploring Operation: 92/2=46, Resulting Numbers: [23, 46] Generated Node #0,1,1: 88:[23, 46] Operation: 92/2=46 Exploring Operation: 92/23=4, Resulting Numbers: [2, 4] Generated Node #0,1,2: 88:[2, 4] Operation: 92/23=4 Exploring Operation: 23-2=21, Resulting Numbers: [92, 21] Generated Node #0,1,3: 88:[92, 21] Operation: 23-2=21 Exploring Operation: 232=46, Resulting Numbers: [92, 46] Generated Node #0,1,4: 88:[92, 46] Operation: 232=46 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 88:[2, 4], Operations: ['54/27=2', '92/23=4'] Exploring Operation: 4/2=2, Resulting Numbers: [2] 2,88 unequal: No Solution Exploring Operation: 24=8, Resulting Numbers: [8] 8,88 unequal: No Solution Exploring Operation: 4-2=2, Resulting Numbers: [2] 2,88 unequal: No Solution Exploring Operation: 2+4=6, Resulting Numbers: [6] 6,88 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 88:[23, 90], Operations: ['54/27=2', '92-2=90'] Exploring Operation: 23+90=113, Resulting Numbers: [113] 113,88 unequal: No Solution Exploring Operation: 2390=2070, Resulting Numbers: [2070] 2070,88 unequal: No Solution Exploring Operation: 90-23=67, Resulting Numbers: [67] 67,88 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 88:[23, 46], Operations: ['54/27=2', '92/2=46'] Exploring Operation: 46-23=23, Resulting Numbers: [23] 23,88 unequal: No Solution Exploring Operation: 46/23=2, Resulting Numbers: [2] 2,88 unequal: No Solution Exploring Operation: 23+46=69, Resulting Numbers: [69] 69,88 unequal: No Solution Exploring Operation: 2346=1058, Resulting Numbers: [1058] 1058,88 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 88:[92, 21], Operations: ['54/27=2', '23-2=21'] Exploring Operation: 92-21=71, Resulting Numbers: [71] 71,88 unequal: No Solution Exploring Operation: 92+21=113, Resulting Numbers: [113] 113,88 unequal: No Solution Exploring Operation: 9221=1932, Resulting Numbers: [1932] 1932,88 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,4 Current State: 88:[92, 46], Operations: ['54/27=2', '232=46'] Exploring Operation: 92+46=138, Resulting Numbers: [138] 138,88 unequal: No Solution Exploring Operation: 9246=4232, Resulting Numbers: [4232] 4232,88 unequal: No Solution Exploring Operation: 92-46=46, Resulting Numbers: [46] 46,88 unequal: No Solution Exploring Operation: 92/46=2, Resulting Numbers: [2] 2,88 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 88:[92, 23, 27], Operations: ['54-27=27'] Exploring Operation: 23+27=50, Resulting Numbers: [92, 50] Generated Node #0,2,0: 88:[92, 50] Operation: 23+27=50 Exploring Operation: 27-23=4, Resulting Numbers: [92, 4] Generated Node #0,2,1: 88:[92, 4] Operation: 27-23=4 Exploring Operation: 92-23=69, Resulting Numbers: [27, 69] Generated Node #0,2,2: 88:[27, 69] Operation: 92-23=69 Exploring Operation: 92-27=65, Resulting Numbers: [23, 65] Generated Node #0,2,3: 88:[23, 65] Operation: 92-27=65 Exploring Operation: 92/23=4, Resulting Numbers: [27, 4] Generated Node #0,2,4: 88:[27, 4] Operation: 92/23=4 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 88:[92, 4], Operations: ['54-27=27', '27-23=4'] Exploring Operation: 92-4=88, Resulting Numbers: [88] 88,88 equal: Goal Reached Moving to Node #0 Current State: 88:[54, 27, 92, 23], Operations: [] Exploring Operation: 54-27=27, Resulting Numbers: [92, 23, 27] Generated Node #0,2: 88:[92, 23, 27] Operation: 54-27=27 Moving to Node #0,2 Current State: 88:[92, 23, 27], Operations: ['54-27=27'] Exploring Operation: 27-23=4, Resulting Numbers: [92, 4] Generated Node #0,2,1: 88:[92, 4] Operation: 27-23=4 Moving to Node #0,2,1 Current State: 88:[92, 4], Operations: ['54-27=27', '27-23=4'] Exploring Operation: 92-4=88, Resulting Numbers: [88] 88,88 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.967014	hs_5	sum_heuristic
[ 6, 11, 21, 2 ]	12	[ "6*11=66", "66/2=33", "33-21=12" ]	Current State: 12:[6, 11, 21, 2], Operations: [] Exploring Operation: 611=66, Resulting Numbers: [21, 2, 66] Generated Node #2: [21, 2, 66] from Operation: 611=66 Current State: 12:[21, 2, 66], Operations: ['611=66'] Exploring Operation: 66/2=33, Resulting Numbers: [21, 33] Generated Node #3: [21, 33] from Operation: 66/2=33 Current State: 12:[21, 33], Operations: ['611=66', '66/2=33'] Exploring Operation: 33-21=12, Resulting Numbers: [12] 12,12 equal: Goal Reached	4	Current State: 12:[6, 11, 21, 2], Operations: [] Exploring Operation: 21-11=10, Resulting Numbers: [6, 2, 10] Generated Node #0,0: 12:[6, 2, 10] Operation: 21-11=10 Start Sub Search at level 1: Moving to Node #0,0 Current State: 12:[6, 2, 10], Operations: ['21-11=10'] Exploring Operation: 10-6=4, Resulting Numbers: [2, 4] Generated Node #0,0,0: 12:[2, 4] Operation: 10-6=4 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 12:[2, 4], Operations: ['21-11=10', '10-6=4'] Exploring Operation: 2+4=6, Resulting Numbers: [6] 6,12 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	sum_heuristic
[ 88, 2, 43, 4 ]	76	[ "43-2=41", "4*41=164", "164-88=76" ]	Current State: 76:[88, 2, 43, 4], Operations: [] Exploring Operation: 43-2=41, Resulting Numbers: [88, 4, 41] Generated Node #2: [88, 4, 41] from Operation: 43-2=41 Current State: 76:[88, 4, 41], Operations: ['43-2=41'] Exploring Operation: 441=164, Resulting Numbers: [88, 164] Generated Node #3: [88, 164] from Operation: 441=164 Current State: 76:[88, 164], Operations: ['43-2=41', '4*41=164'] Exploring Operation: 164-88=76, Resulting Numbers: [76] 76,76 equal: Goal Reached	4	Current State: 76:[88, 2, 43, 4], Operations: [] Exploring Operation: 88/4=22, Resulting Numbers: [2, 43, 22] Generated Node #0,0: 76:[2, 43, 22] Operation: 88/4=22 Exploring Operation: 88-43=45, Resulting Numbers: [2, 4, 45] Generated Node #0,1: 76:[2, 4, 45] Operation: 88-43=45 Moving to Node #0,1 Current State: 76:[2, 4, 45], Operations: ['88-43=45'] Exploring Operation: 45-4=41, Resulting Numbers: [2, 41] Generated Node #0,1,0: 76:[2, 41] Operation: 45-4=41 Exploring Operation: 45-2=43, Resulting Numbers: [4, 43] Generated Node #0,1,1: 76:[4, 43] Operation: 45-2=43 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 76:[2, 41], Operations: ['88-43=45', '45-4=41'] Exploring Operation: 2+41=43, Resulting Numbers: [43] 43,76 unequal: No Solution Exploring Operation: 41-2=39, Resulting Numbers: [39] 39,76 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 76:[4, 43], Operations: ['88-43=45', '45-2=43'] Exploring Operation: 43-4=39, Resulting Numbers: [39] 39,76 unequal: No Solution Exploring Operation: 4+43=47, Resulting Numbers: [47] 47,76 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 76:[2, 43, 22], Operations: ['88/4=22'] Exploring Operation: 43-22=21, Resulting Numbers: [2, 21] Generated Node #0,0,0: 76:[2, 21] Operation: 43-22=21 Exploring Operation: 43-2=41, Resulting Numbers: [22, 41] Generated Node #0,0,1: 76:[22, 41] Operation: 43-2=41 Moving to Node #0,0,0 Current State: 76:[2, 21], Operations: ['88/4=22', '43-22=21'] Exploring Operation: 21-2=19, Resulting Numbers: [19] 19,76 unequal: No Solution Exploring Operation: 2+21=23, Resulting Numbers: [23] 23,76 unequal: No Solution Moving to Node #0,0,1 Current State: 76:[22, 41], Operations: ['88/4=22', '43-2=41'] Exploring Operation: 41-22=19, Resulting Numbers: [19] 19,76 unequal: No Solution Exploring Operation: 22+41=63, Resulting Numbers: [63] 63,76 unequal: No Solution No solution found.	0	hs_2	sum_heuristic
[ 36, 35, 81, 77 ]	99	[ "81-36=45", "77*45=3465", "3465/35=99" ]	Current State: 99:[36, 35, 81, 77], Operations: [] Exploring Operation: 81-36=45, Resulting Numbers: [35, 77, 45] Generated Node #2: [35, 77, 45] from Operation: 81-36=45 Current State: 99:[35, 77, 45], Operations: ['81-36=45'] Exploring Operation: 7745=3465, Resulting Numbers: [35, 3465] Generated Node #3: [35, 3465] from Operation: 7745=3465 Current State: 99:[35, 3465], Operations: ['81-36=45', '77*45=3465'] Exploring Operation: 3465/35=99, Resulting Numbers: [99] 99,99 equal: Goal Reached	4	Current State: 99:[36, 35, 81, 77], Operations: [] Exploring Operation: 81-77=4, Resulting Numbers: [36, 35, 4] Generated Node #0,0: 99:[36, 35, 4] Operation: 81-77=4 Exploring Operation: 77-36=41, Resulting Numbers: [35, 81, 41] Generated Node #0,1: 99:[35, 81, 41] Operation: 77-36=41 Moving to Node #0,0 Current State: 99:[36, 35, 4], Operations: ['81-77=4'] Exploring Operation: 36-35=1, Resulting Numbers: [4, 1] Generated Node #0,0,0: 99:[4, 1] Operation: 36-35=1 Exploring Operation: 36/4=9, Resulting Numbers: [35, 9] Generated Node #0,0,1: 99:[35, 9] Operation: 36/4=9 Moving to Node #0,1 Current State: 99:[35, 81, 41], Operations: ['77-36=41'] Exploring Operation: 81-41=40, Resulting Numbers: [35, 40] Generated Node #0,1,0: 99:[35, 40] Operation: 81-41=40 Exploring Operation: 81-35=46, Resulting Numbers: [41, 46] Generated Node #0,1,1: 99:[41, 46] Operation: 81-35=46 Moving to Node #0,0,1 Current State: 99:[35, 9], Operations: ['81-77=4', '36/4=9'] Exploring Operation: 35+9=44, Resulting Numbers: [44] 44,99 unequal: No Solution Exploring Operation: 35-9=26, Resulting Numbers: [26] 26,99 unequal: No Solution Moving to Node #0,0,0 Current State: 99:[4, 1], Operations: ['81-77=4', '36-35=1'] Exploring Operation: 4-1=3, Resulting Numbers: [3] 3,99 unequal: No Solution Exploring Operation: 4*1=4, Resulting Numbers: [4] 4,99 unequal: No Solution Moving to Node #0,1,0 Current State: 99:[35, 40], Operations: ['77-36=41', '81-41=40'] Exploring Operation: 35+40=75, Resulting Numbers: [75] 75,99 unequal: No Solution Exploring Operation: 40-35=5, Resulting Numbers: [5] 5,99 unequal: No Solution Moving to Node #0,1,1 Current State: 99:[41, 46], Operations: ['77-36=41', '81-35=46'] Exploring Operation: 41+46=87, Resulting Numbers: [87] 87,99 unequal: No Solution Exploring Operation: 46-41=5, Resulting Numbers: [5] 5,99 unequal: No Solution No solution found.	0	hs_2	mult_heuristic
[ 66, 38, 26, 27 ]	31	[ "66+38=104", "104/26=4", "27+4=31" ]	Current State: 31:[66, 38, 26, 27], Operations: [] Exploring Operation: 66+38=104, Resulting Numbers: [26, 27, 104] Generated Node #2: [26, 27, 104] from Operation: 66+38=104 Current State: 31:[26, 27, 104], Operations: ['66+38=104'] Exploring Operation: 104/26=4, Resulting Numbers: [27, 4] Generated Node #3: [27, 4] from Operation: 104/26=4 Current State: 31:[27, 4], Operations: ['66+38=104', '104/26=4'] Exploring Operation: 27+4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached	4	Current State: 31:[66, 38, 26, 27], Operations: [] Exploring Operation: 66-38=28, Resulting Numbers: [26, 27, 28] Generated Node #0,0: 31:[26, 27, 28] Operation: 66-38=28 Moving to Node #0,0 Current State: 31:[26, 27, 28], Operations: ['66-38=28'] Exploring Operation: 26+27=53, Resulting Numbers: [28, 53] Generated Node #0,0,0: 31:[28, 53] Operation: 26+27=53 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 31:[28, 53], Operations: ['66-38=28', '26+27=53'] Exploring Operation: 53-28=25, Resulting Numbers: [25] 25,31 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	sum_heuristic
[ 35, 40, 75, 29 ]	91	[ "75+29=104", "35*104=3640", "3640/40=91" ]	Current State: 91:[35, 40, 75, 29], Operations: [] Exploring Operation: 75+29=104, Resulting Numbers: [35, 40, 104] Generated Node #2: [35, 40, 104] from Operation: 75+29=104 Current State: 91:[35, 40, 104], Operations: ['75+29=104'] Exploring Operation: 35104=3640, Resulting Numbers: [40, 3640] Generated Node #3: [40, 3640] from Operation: 35104=3640 Current State: 91:[40, 3640], Operations: ['75+29=104', '35*104=3640'] Exploring Operation: 3640/40=91, Resulting Numbers: [91] 91,91 equal: Goal Reached	4	Current State: 91:[35, 40, 75, 29], Operations: [] Exploring Operation: 40-35=5, Resulting Numbers: [75, 29, 5] Generated Node #0,0: 91:[75, 29, 5] Operation: 40-35=5 Moving to Node #0,0 Current State: 91:[75, 29, 5], Operations: ['40-35=5'] Exploring Operation: 75+29=104, Resulting Numbers: [5, 104] Generated Node #0,0,0: 91:[5, 104] Operation: 75+29=104 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 91:[5, 104], Operations: ['40-35=5', '75+29=104'] Exploring Operation: 104-5=99, Resulting Numbers: [99] 99,91 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	sum_heuristic
[ 24, 7, 35, 27 ]	21	[ "24*7=168", "35-27=8", "168/8=21" ]	Current State: 21:[24, 7, 35, 27], Operations: [] Exploring Operation: 247=168, Resulting Numbers: [35, 27, 168] Generated Node #2: [35, 27, 168] from Operation: 247=168 Current State: 21:[35, 27, 168], Operations: ['247=168'] Exploring Operation: 35-27=8, Resulting Numbers: [168, 8] Generated Node #3: [168, 8] from Operation: 35-27=8 Current State: 21:[168, 8], Operations: ['247=168', '35-27=8'] Exploring Operation: 168/8=21, Resulting Numbers: [21] 21,21 equal: Goal Reached	4	Current State: 21:[24, 7, 35, 27], Operations: [] Exploring Operation: 35-27=8, Resulting Numbers: [24, 7, 8] Generated Node #0,0: 21:[24, 7, 8] Operation: 35-27=8 Exploring Operation: 35-24=11, Resulting Numbers: [7, 27, 11] Generated Node #0,1: 21:[7, 27, 11] Operation: 35-24=11 Exploring Operation: 35/7=5, Resulting Numbers: [24, 27, 5] Generated Node #0,2: 21:[24, 27, 5] Operation: 35/7=5 Exploring Operation: 27-24=3, Resulting Numbers: [7, 35, 3] Generated Node #0,3: 21:[7, 35, 3] Operation: 27-24=3 Exploring Operation: 35-7=28, Resulting Numbers: [24, 27, 28] Generated Node #0,4: 21:[24, 27, 28] Operation: 35-7=28 Moving to Node #0,0 Current State: 21:[24, 7, 8], Operations: ['35-27=8'] Exploring Operation: 24-7=17, Resulting Numbers: [8, 17] Generated Node #0,0,0: 21:[8, 17] Operation: 24-7=17 Exploring Operation: 8-7=1, Resulting Numbers: [24, 1] Generated Node #0,0,1: 21:[24, 1] Operation: 8-7=1 Exploring Operation: 7+8=15, Resulting Numbers: [24, 15] Generated Node #0,0,2: 21:[24, 15] Operation: 7+8=15 Exploring Operation: 24/8=3, Resulting Numbers: [7, 3] Generated Node #0,0,3: 21:[7, 3] Operation: 24/8=3 Exploring Operation: 24-8=16, Resulting Numbers: [7, 16] Generated Node #0,0,4: 21:[7, 16] Operation: 24-8=16 Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 21:[7, 3], Operations: ['35-27=8', '24/8=3'] Exploring Operation: 7-3=4, Resulting Numbers: [4] 4,21 unequal: No Solution Exploring Operation: 7+3=10, Resulting Numbers: [10] 10,21 unequal: No Solution Exploring Operation: 73=21, Resulting Numbers: [21] 21,21 equal: Goal Reached Moving to Node #0 Current State: 21:[24, 7, 35, 27], Operations: [] Exploring Operation: 35-27=8, Resulting Numbers: [24, 7, 8] Generated Node #0,0: 21:[24, 7, 8] Operation: 35-27=8 Moving to Node #0,0 Current State: 21:[24, 7, 8], Operations: ['35-27=8'] Exploring Operation: 24/8=3, Resulting Numbers: [7, 3] Generated Node #0,0,3: 21:[7, 3] Operation: 24/8=3 Moving to Node #0,0,3 Current State: 21:[7, 3], Operations: ['35-27=8', '24/8=3'] Exploring Operation: 73=21, Resulting Numbers: [21] 21,21 equal: Goal Reached Exit Sub Search at level 1	0.985243	hs_5	mult_heuristic
[ 7, 24, 56, 93 ]	99	[ "56/7=8", "24*8=192", "192-93=99" ]	Current State: 99:[7, 24, 56, 93], Operations: [] Exploring Operation: 56/7=8, Resulting Numbers: [24, 93, 8] Generated Node #2: [24, 93, 8] from Operation: 56/7=8 Current State: 99:[24, 93, 8], Operations: ['56/7=8'] Exploring Operation: 248=192, Resulting Numbers: [93, 192] Generated Node #3: [93, 192] from Operation: 248=192 Current State: 99:[93, 192], Operations: ['56/7=8', '24*8=192'] Exploring Operation: 192-93=99, Resulting Numbers: [99] 99,99 equal: Goal Reached	4	Current State: 99:[7, 24, 56, 93], Operations: [] Exploring Operation: 24+56=80, Resulting Numbers: [7, 93, 80] Generated Node #0,0: 99:[7, 93, 80] Operation: 24+56=80 Exploring Operation: 93-56=37, Resulting Numbers: [7, 24, 37] Generated Node #0,1: 99:[7, 24, 37] Operation: 93-56=37 Exploring Operation: 56/7=8, Resulting Numbers: [24, 93, 8] Generated Node #0,2: 99:[24, 93, 8] Operation: 56/7=8 Exploring Operation: 56-24=32, Resulting Numbers: [7, 93, 32] Generated Node #0,3: 99:[7, 93, 32] Operation: 56-24=32 Moving to Node #0,3 Current State: 99:[7, 93, 32], Operations: ['56-24=32'] Exploring Operation: 93-7=86, Resulting Numbers: [32, 86] Generated Node #0,3,0: 99:[32, 86] Operation: 93-7=86 Exploring Operation: 7+32=39, Resulting Numbers: [93, 39] Generated Node #0,3,1: 99:[93, 39] Operation: 7+32=39 Exploring Operation: 32-7=25, Resulting Numbers: [93, 25] Generated Node #0,3,2: 99:[93, 25] Operation: 32-7=25 Exploring Operation: 7+93=100, Resulting Numbers: [32, 100] Generated Node #0,3,3: 99:[32, 100] Operation: 7+93=100 Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 99:[32, 100], Operations: ['56-24=32', '7+93=100'] Exploring Operation: 100-32=68, Resulting Numbers: [68] 68,99 unequal: No Solution Exploring Operation: 32100=3200, Resulting Numbers: [3200] 3200,99 unequal: No Solution Exploring Operation: 32+100=132, Resulting Numbers: [132] 132,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 99:[93, 39], Operations: ['56-24=32', '7+32=39'] Exploring Operation: 93+39=132, Resulting Numbers: [132] 132,99 unequal: No Solution Exploring Operation: 9339=3627, Resulting Numbers: [3627] 3627,99 unequal: No Solution Exploring Operation: 93-39=54, Resulting Numbers: [54] 54,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 99:[32, 86], Operations: ['56-24=32', '93-7=86'] Exploring Operation: 3286=2752, Resulting Numbers: [2752] 2752,99 unequal: No Solution Exploring Operation: 32+86=118, Resulting Numbers: [118] 118,99 unequal: No Solution Exploring Operation: 86-32=54, Resulting Numbers: [54] 54,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 99:[93, 25], Operations: ['56-24=32', '32-7=25'] Exploring Operation: 9325=2325, Resulting Numbers: [2325] 2325,99 unequal: No Solution Exploring Operation: 93-25=68, Resulting Numbers: [68] 68,99 unequal: No Solution Exploring Operation: 93+25=118, Resulting Numbers: [118] 118,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 99:[7, 24, 37], Operations: ['93-56=37'] Exploring Operation: 37-7=30, Resulting Numbers: [24, 30] Generated Node #0,1,0: 99:[24, 30] Operation: 37-7=30 Exploring Operation: 7+24=31, Resulting Numbers: [37, 31] Generated Node #0,1,1: 99:[37, 31] Operation: 7+24=31 Exploring Operation: 37-24=13, Resulting Numbers: [7, 13] Generated Node #0,1,2: 99:[7, 13] Operation: 37-24=13 Exploring Operation: 24-7=17, Resulting Numbers: [37, 17] Generated Node #0,1,3: 99:[37, 17] Operation: 24-7=17 Moving to Node #0,2 Current State: 99:[24, 93, 8], Operations: ['56/7=8'] Exploring Operation: 24+8=32, Resulting Numbers: [93, 32] Generated Node #0,2,0: 99:[93, 32] Operation: 24+8=32 Exploring Operation: 24-8=16, Resulting Numbers: [93, 16] Generated Node #0,2,1: 99:[93, 16] Operation: 24-8=16 Exploring Operation: 24/8=3, Resulting Numbers: [93, 3] Generated Node #0,2,2: 99:[93, 3] Operation: 24/8=3 Exploring Operation: 93+8=101, Resulting Numbers: [24, 101] Generated Node #0,2,3: 99:[24, 101] Operation: 93+8=101 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 99:[93, 3], Operations: ['56/7=8', '24/8=3'] Exploring Operation: 93+3=96, Resulting Numbers: [96] 96,99 unequal: No Solution Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,99 unequal: No Solution Exploring Operation: 933=279, Resulting Numbers: [279] 279,99 unequal: No Solution Exploring Operation: 93-3=90, Resulting Numbers: [90] 90,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 99:[93, 32], Operations: ['56/7=8', '24+8=32'] Exploring Operation: 93-32=61, Resulting Numbers: [61] 61,99 unequal: No Solution Exploring Operation: 93+32=125, Resulting Numbers: [125] 125,99 unequal: No Solution Exploring Operation: 9332=2976, Resulting Numbers: [2976] 2976,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 99:[93, 16], Operations: ['56/7=8', '24-8=16'] Exploring Operation: 93+16=109, Resulting Numbers: [109] 109,99 unequal: No Solution Exploring Operation: 93-16=77, Resulting Numbers: [77] 77,99 unequal: No Solution Exploring Operation: 9316=1488, Resulting Numbers: [1488] 1488,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 99:[24, 101], Operations: ['56/7=8', '93+8=101'] Exploring Operation: 24101=2424, Resulting Numbers: [2424] 2424,99 unequal: No Solution Exploring Operation: 24+101=125, Resulting Numbers: [125] 125,99 unequal: No Solution Exploring Operation: 101-24=77, Resulting Numbers: [77] 77,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 99:[7, 93, 80], Operations: ['24+56=80'] Exploring Operation: 7+93=100, Resulting Numbers: [80, 100] Generated Node #0,0,0: 99:[80, 100] Operation: 7+93=100 Exploring Operation: 93-7=86, Resulting Numbers: [80, 86] Generated Node #0,0,1: 99:[80, 86] Operation: 93-7=86 Exploring Operation: 7+80=87, Resulting Numbers: [93, 87] Generated Node #0,0,2: 99:[93, 87] Operation: 7+80=87 Exploring Operation: 93-80=13, Resulting Numbers: [7, 13] Generated Node #0,0,3: 99:[7, 13] Operation: 93-80=13 Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 99:[7, 13], Operations: ['24+56=80', '93-80=13'] Exploring Operation: 13-7=6, Resulting Numbers: [6] 6,99 unequal: No Solution Exploring Operation: 7+13=20, Resulting Numbers: [20] 20,99 unequal: No Solution Exploring Operation: 713=91, Resulting Numbers: [91] 91,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 99:[93, 87], Operations: ['24+56=80', '7+80=87'] Exploring Operation: 93+87=180, Resulting Numbers: [180] 180,99 unequal: No Solution Exploring Operation: 93-87=6, Resulting Numbers: [6] 6,99 unequal: No Solution Exploring Operation: 9387=8091, Resulting Numbers: [8091] 8091,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 99:[80, 100], Operations: ['24+56=80', '7+93=100'] Exploring Operation: 80+100=180, Resulting Numbers: [180] 180,99 unequal: No Solution Exploring Operation: 100-80=20, Resulting Numbers: [20] 20,99 unequal: No Solution Exploring Operation: 80100=8000, Resulting Numbers: [8000] 8000,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 99:[80, 86], Operations: ['24+56=80', '93-7=86'] Exploring Operation: 8086=6880, Resulting Numbers: [6880] 6880,99 unequal: No Solution Exploring Operation: 80+86=166, Resulting Numbers: [166] 166,99 unequal: No Solution Exploring Operation: 86-80=6, Resulting Numbers: [6] 6,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,2 Current State: 99:[7, 13], Operations: ['93-56=37', '37-24=13'] Exploring Operation: 13-7=6, Resulting Numbers: [6] 6,99 unequal: No Solution Exploring Operation: 713=91, Resulting Numbers: [91] 91,99 unequal: No Solution Exploring Operation: 7+13=20, Resulting Numbers: [20] 20,99 unequal: No Solution Moving to Node #0,1,1 Current State: 99:[37, 31], Operations: ['93-56=37', '7+24=31'] Exploring Operation: 37+31=68, Resulting Numbers: [68] 68,99 unequal: No Solution Exploring Operation: 3731=1147, Resulting Numbers: [1147] 1147,99 unequal: No Solution Exploring Operation: 37-31=6, Resulting Numbers: [6] 6,99 unequal: No Solution Moving to Node #0,1,3 Current State: 99:[37, 17], Operations: ['93-56=37', '24-7=17'] Exploring Operation: 3717=629, Resulting Numbers: [629] 629,99 unequal: No Solution Exploring Operation: 37+17=54, Resulting Numbers: [54] 54,99 unequal: No Solution Exploring Operation: 37-17=20, Resulting Numbers: [20] 20,99 unequal: No Solution Moving to Node #0,1,0 Current State: 99:[24, 30], Operations: ['93-56=37', '37-7=30'] Exploring Operation: 24+30=54, Resulting Numbers: [54] 54,99 unequal: No Solution Exploring Operation: 2430=720, Resulting Numbers: [720] 720,99 unequal: No Solution Exploring Operation: 30-24=6, Resulting Numbers: [6] 6,99 unequal: No Solution No solution found.	0	hs_4	sum_heuristic
[ 49, 2, 53, 19 ]	87	[ "49+19=68", "68/2=34", "53+34=87" ]	Current State: 87:[49, 2, 53, 19], Operations: [] Exploring Operation: 49+19=68, Resulting Numbers: [2, 53, 68] Generated Node #2: [2, 53, 68] from Operation: 49+19=68 Current State: 87:[2, 53, 68], Operations: ['49+19=68'] Exploring Operation: 68/2=34, Resulting Numbers: [53, 34] Generated Node #3: [53, 34] from Operation: 68/2=34 Current State: 87:[53, 34], Operations: ['49+19=68', '68/2=34'] Exploring Operation: 53+34=87, Resulting Numbers: [87] 87,87 equal: Goal Reached	4	Current State: 87:[49, 2, 53, 19], Operations: [] Exploring Operation: 49-19=30, Resulting Numbers: [2, 53, 30] Generated Node #0,0: 87:[2, 53, 30] Operation: 49-19=30 Exploring Operation: 53-19=34, Resulting Numbers: [49, 2, 34] Generated Node #0,1: 87:[49, 2, 34] Operation: 53-19=34 Exploring Operation: 53-49=4, Resulting Numbers: [2, 19, 4] Generated Node #0,2: 87:[2, 19, 4] Operation: 53-49=4 Exploring Operation: 49+53=102, Resulting Numbers: [2, 19, 102] Generated Node #0,3: 87:[2, 19, 102] Operation: 49+53=102 Moving to Node #0,2 Current State: 87:[2, 19, 4], Operations: ['53-49=4'] Exploring Operation: 4-2=2, Resulting Numbers: [19, 2] Generated Node #0,2,0: 87:[19, 2] Operation: 4-2=2 Exploring Operation: 19+4=23, Resulting Numbers: [2, 23] Generated Node #0,2,1: 87:[2, 23] Operation: 19+4=23 Exploring Operation: 219=38, Resulting Numbers: [4, 38] Generated Node #0,2,2: 87:[4, 38] Operation: 219=38 Exploring Operation: 2+19=21, Resulting Numbers: [4, 21] Generated Node #0,2,3: 87:[4, 21] Operation: 2+19=21 Moving to Node #0,1 Current State: 87:[49, 2, 34], Operations: ['53-19=34'] Exploring Operation: 492=98, Resulting Numbers: [34, 98] Generated Node #0,1,0: 87:[34, 98] Operation: 492=98 Exploring Operation: 49+34=83, Resulting Numbers: [2, 83] Generated Node #0,1,1: 87:[2, 83] Operation: 49+34=83 Exploring Operation: 49-34=15, Resulting Numbers: [2, 15] Generated Node #0,1,2: 87:[2, 15] Operation: 49-34=15 Exploring Operation: 49-2=47, Resulting Numbers: [34, 47] Generated Node #0,1,3: 87:[34, 47] Operation: 49-2=47 Moving to Node #0,0 Current State: 87:[2, 53, 30], Operations: ['49-19=30'] Exploring Operation: 53-30=23, Resulting Numbers: [2, 23] Generated Node #0,0,0: 87:[2, 23] Operation: 53-30=23 Exploring Operation: 253=106, Resulting Numbers: [30, 106] Generated Node #0,0,1: 87:[30, 106] Operation: 253=106 Exploring Operation: 53-2=51, Resulting Numbers: [30, 51] Generated Node #0,0,2: 87:[30, 51] Operation: 53-2=51 Exploring Operation: 53+30=83, Resulting Numbers: [2, 83] Generated Node #0,0,3: 87:[2, 83] Operation: 53+30=83 Moving to Node #0,3 Current State: 87:[2, 19, 102], Operations: ['49+53=102'] Exploring Operation: 102-19=83, Resulting Numbers: [2, 83] Generated Node #0,3,0: 87:[2, 83] Operation: 102-19=83 Exploring Operation: 102-2=100, Resulting Numbers: [19, 100] Generated Node #0,3,1: 87:[19, 100] Operation: 102-2=100 Exploring Operation: 2+19=21, Resulting Numbers: [102, 21] Generated Node #0,3,2: 87:[102, 21] Operation: 2+19=21 Exploring Operation: 219=38, Resulting Numbers: [102, 38] Generated Node #0,3,3: 87:[102, 38] Operation: 219=38 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 87:[2, 83], Operations: ['49+53=102', '102-19=83'] Exploring Operation: 2+83=85, Resulting Numbers: [85] 85,87 unequal: No Solution Exploring Operation: 283=166, Resulting Numbers: [166] 166,87 unequal: No Solution Exploring Operation: 83-2=81, Resulting Numbers: [81] 81,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 87:[19, 100], Operations: ['49+53=102', '102-2=100'] Exploring Operation: 19+100=119, Resulting Numbers: [119] 119,87 unequal: No Solution Exploring Operation: 100-19=81, Resulting Numbers: [81] 81,87 unequal: No Solution Exploring Operation: 19100=1900, Resulting Numbers: [1900] 1900,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 87:[102, 21], Operations: ['49+53=102', '2+19=21'] Exploring Operation: 102-21=81, Resulting Numbers: [81] 81,87 unequal: No Solution Exploring Operation: 10221=2142, Resulting Numbers: [2142] 2142,87 unequal: No Solution Exploring Operation: 102+21=123, Resulting Numbers: [123] 123,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 87:[102, 38], Operations: ['49+53=102', '219=38'] Exploring Operation: 10238=3876, Resulting Numbers: [3876] 3876,87 unequal: No Solution Exploring Operation: 102-38=64, Resulting Numbers: [64] 64,87 unequal: No Solution Exploring Operation: 102+38=140, Resulting Numbers: [140] 140,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,1 Current State: 87:[2, 83], Operations: ['53-19=34', '49+34=83'] Exploring Operation: 83-2=81, Resulting Numbers: [81] 81,87 unequal: No Solution Exploring Operation: 283=166, Resulting Numbers: [166] 166,87 unequal: No Solution Exploring Operation: 2+83=85, Resulting Numbers: [85] 85,87 unequal: No Solution Moving to Node #0,0,3 Current State: 87:[2, 83], Operations: ['49-19=30', '53+30=83'] Exploring Operation: 283=166, Resulting Numbers: [166] 166,87 unequal: No Solution Exploring Operation: 2+83=85, Resulting Numbers: [85] 85,87 unequal: No Solution Exploring Operation: 83-2=81, Resulting Numbers: [81] 81,87 unequal: No Solution Moving to Node #0,0,0 Current State: 87:[2, 23], Operations: ['49-19=30', '53-30=23'] Exploring Operation: 23-2=21, Resulting Numbers: [21] 21,87 unequal: No Solution Exploring Operation: 2+23=25, Resulting Numbers: [25] 25,87 unequal: No Solution Exploring Operation: 223=46, Resulting Numbers: [46] 46,87 unequal: No Solution Moving to Node #0,2,1 Current State: 87:[2, 23], Operations: ['53-49=4', '19+4=23'] Exploring Operation: 223=46, Resulting Numbers: [46] 46,87 unequal: No Solution Exploring Operation: 23-2=21, Resulting Numbers: [21] 21,87 unequal: No Solution Exploring Operation: 2+23=25, Resulting Numbers: [25] 25,87 unequal: No Solution Moving to Node #0,2,3 Current State: 87:[4, 21], Operations: ['53-49=4', '2+19=21'] Exploring Operation: 4+21=25, Resulting Numbers: [25] 25,87 unequal: No Solution Exploring Operation: 421=84, Resulting Numbers: [84] 84,87 unequal: No Solution Exploring Operation: 21-4=17, Resulting Numbers: [17] 17,87 unequal: No Solution Moving to Node #0,2,2 Current State: 87:[4, 38], Operations: ['53-49=4', '219=38'] Exploring Operation: 4+38=42, Resulting Numbers: [42] 42,87 unequal: No Solution Exploring Operation: 38-4=34, Resulting Numbers: [34] 34,87 unequal: No Solution Exploring Operation: 438=152, Resulting Numbers: [152] 152,87 unequal: No Solution Moving to Node #0,2,0 Current State: 87:[19, 2], Operations: ['53-49=4', '4-2=2'] Exploring Operation: 19-2=17, Resulting Numbers: [17] 17,87 unequal: No Solution Exploring Operation: 19+2=21, Resulting Numbers: [21] 21,87 unequal: No Solution Exploring Operation: 192=38, Resulting Numbers: [38] 38,87 unequal: No Solution Moving to Node #0,1,2 Current State: 87:[2, 15], Operations: ['53-19=34', '49-34=15'] Exploring Operation: 215=30, Resulting Numbers: [30] 30,87 unequal: No Solution Exploring Operation: 15-2=13, Resulting Numbers: [13] 13,87 unequal: No Solution Exploring Operation: 2+15=17, Resulting Numbers: [17] 17,87 unequal: No Solution Moving to Node #0,1,0 Current State: 87:[34, 98], Operations: ['53-19=34', '492=98'] Exploring Operation: 3498=3332, Resulting Numbers: [3332] 3332,87 unequal: No Solution Exploring Operation: 98-34=64, Resulting Numbers: [64] 64,87 unequal: No Solution Exploring Operation: 34+98=132, Resulting Numbers: [132] 132,87 unequal: No Solution Moving to Node #0,0,1 Current State: 87:[30, 106], Operations: ['49-19=30', '253=106'] Exploring Operation: 30106=3180, Resulting Numbers: [3180] 3180,87 unequal: No Solution Exploring Operation: 30+106=136, Resulting Numbers: [136] 136,87 unequal: No Solution Exploring Operation: 106-30=76, Resulting Numbers: [76] 76,87 unequal: No Solution Moving to Node #0,0,2 Current State: 87:[30, 51], Operations: ['49-19=30', '53-2=51'] Exploring Operation: 51-30=21, Resulting Numbers: [21] 21,87 unequal: No Solution Exploring Operation: 30+51=81, Resulting Numbers: [81] 81,87 unequal: No Solution Exploring Operation: 3051=1530, Resulting Numbers: [1530] 1530,87 unequal: No Solution Moving to Node #0,1,3 Current State: 87:[34, 47], Operations: ['53-19=34', '49-2=47'] Exploring Operation: 47-34=13, Resulting Numbers: [13] 13,87 unequal: No Solution Exploring Operation: 3447=1598, Resulting Numbers: [1598] 1598,87 unequal: No Solution Exploring Operation: 34+47=81, Resulting Numbers: [81] 81,87 unequal: No Solution No solution found.	0	hs_4	mult_heuristic
[ 56, 98, 10, 9 ]	42	[ "98-56=42", "10-9=1", "42*1=42" ]	Current State: 42:[56, 98, 10, 9], Operations: [] Exploring Operation: 98-56=42, Resulting Numbers: [10, 9, 42] Generated Node #2: [10, 9, 42] from Operation: 98-56=42 Current State: 42:[10, 9, 42], Operations: ['98-56=42'] Exploring Operation: 10-9=1, Resulting Numbers: [42, 1] Generated Node #3: [42, 1] from Operation: 10-9=1 Current State: 42:[42, 1], Operations: ['98-56=42', '10-9=1'] Exploring Operation: 42*1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached	4	Current State: 42:[56, 98, 10, 9], Operations: [] Exploring Operation: 56-9=47, Resulting Numbers: [98, 10, 47] Generated Node #0,0: 42:[98, 10, 47] Operation: 56-9=47 Exploring Operation: 98-56=42, Resulting Numbers: [10, 9, 42] Generated Node #0,1: 42:[10, 9, 42] Operation: 98-56=42 Exploring Operation: 98-9=89, Resulting Numbers: [56, 10, 89] Generated Node #0,2: 42:[56, 10, 89] Operation: 98-9=89 Exploring Operation: 56-10=46, Resulting Numbers: [98, 9, 46] Generated Node #0,3: 42:[98, 9, 46] Operation: 56-10=46 Exploring Operation: 98-10=88, Resulting Numbers: [56, 9, 88] Generated Node #0,4: 42:[56, 9, 88] Operation: 98-10=88 Moving to Node #0,1 Current State: 42:[10, 9, 42], Operations: ['98-56=42'] Exploring Operation: 9+42=51, Resulting Numbers: [10, 51] Generated Node #0,1,0: 42:[10, 51] Operation: 9+42=51 Exploring Operation: 10-9=1, Resulting Numbers: [42, 1] Generated Node #0,1,1: 42:[42, 1] Operation: 10-9=1 Exploring Operation: 10+9=19, Resulting Numbers: [42, 19] Generated Node #0,1,2: 42:[42, 19] Operation: 10+9=19 Exploring Operation: 10+42=52, Resulting Numbers: [9, 52] Generated Node #0,1,3: 42:[9, 52] Operation: 10+42=52 Exploring Operation: 42-10=32, Resulting Numbers: [9, 32] Generated Node #0,1,4: 42:[9, 32] Operation: 42-10=32 Moving to Node #0,4 Current State: 42:[56, 9, 88], Operations: ['98-10=88'] Exploring Operation: 9+88=97, Resulting Numbers: [56, 97] Generated Node #0,4,0: 42:[56, 97] Operation: 9+88=97 Exploring Operation: 88-56=32, Resulting Numbers: [9, 32] Generated Node #0,4,1: 42:[9, 32] Operation: 88-56=32 Exploring Operation: 88-9=79, Resulting Numbers: [56, 79] Generated Node #0,4,2: 42:[56, 79] Operation: 88-9=79 Exploring Operation: 56+9=65, Resulting Numbers: [88, 65] Generated Node #0,4,3: 42:[88, 65] Operation: 56+9=65 Exploring Operation: 56-9=47, Resulting Numbers: [88, 47] Generated Node #0,4,4: 42:[88, 47] Operation: 56-9=47 Moving to Node #0,3 Current State: 42:[98, 9, 46], Operations: ['56-10=46'] Exploring Operation: 98+9=107, Resulting Numbers: [46, 107] Generated Node #0,3,0: 42:[46, 107] Operation: 98+9=107 Exploring Operation: 98-46=52, Resulting Numbers: [9, 52] Generated Node #0,3,1: 42:[9, 52] Operation: 98-46=52 Exploring Operation: 9+46=55, Resulting Numbers: [98, 55] Generated Node #0,3,2: 42:[98, 55] Operation: 9+46=55 Exploring Operation: 98-9=89, Resulting Numbers: [46, 89] Generated Node #0,3,3: 42:[46, 89] Operation: 98-9=89 Exploring Operation: 46-9=37, Resulting Numbers: [98, 37] Generated Node #0,3,4: 42:[98, 37] Operation: 46-9=37 Moving to Node #0,0 Current State: 42:[98, 10, 47], Operations: ['56-9=47'] Exploring Operation: 98+10=108, Resulting Numbers: [47, 108] Generated Node #0,0,0: 42:[47, 108] Operation: 98+10=108 Exploring Operation: 47-10=37, Resulting Numbers: [98, 37] Generated Node #0,0,1: 42:[98, 37] Operation: 47-10=37 Exploring Operation: 98-10=88, Resulting Numbers: [47, 88] Generated Node #0,0,2: 42:[47, 88] Operation: 98-10=88 Exploring Operation: 10+47=57, Resulting Numbers: [98, 57] Generated Node #0,0,3: 42:[98, 57] Operation: 10+47=57 Exploring Operation: 98-47=51, Resulting Numbers: [10, 51] Generated Node #0,0,4: 42:[10, 51] Operation: 98-47=51 Moving to Node #0,2 Current State: 42:[56, 10, 89], Operations: ['98-9=89'] Exploring Operation: 89-10=79, Resulting Numbers: [56, 79] Generated Node #0,2,0: 42:[56, 79] Operation: 89-10=79 Exploring Operation: 89-56=33, Resulting Numbers: [10, 33] Generated Node #0,2,1: 42:[10, 33] Operation: 89-56=33 Exploring Operation: 56-10=46, Resulting Numbers: [89, 46] Generated Node #0,2,2: 42:[89, 46] Operation: 56-10=46 Exploring Operation: 10+89=99, Resulting Numbers: [56, 99] Generated Node #0,2,3: 42:[56, 99] Operation: 10+89=99 Exploring Operation: 56+10=66, Resulting Numbers: [89, 66] Generated Node #0,2,4: 42:[89, 66] Operation: 56+10=66 Moving to Node #0,1,1 Current State: 42:[42, 1], Operations: ['98-56=42', '10-9=1'] Exploring Operation: 421=42, Resulting Numbers: [42] 42,42 equal: Goal Reached Moving to Node #0 Current State: 42:[56, 98, 10, 9], Operations: [] Exploring Operation: 98-56=42, Resulting Numbers: [10, 9, 42] Generated Node #0,1: 42:[10, 9, 42] Operation: 98-56=42 Moving to Node #0,1 Current State: 42:[10, 9, 42], Operations: ['98-56=42'] Exploring Operation: 10-9=1, Resulting Numbers: [42, 1] Generated Node #0,1,1: 42:[42, 1] Operation: 10-9=1 Moving to Node #0,1,1 Current State: 42:[42, 1], Operations: ['98-56=42', '10-9=1'] Exploring Operation: 421=42, Resulting Numbers: [42] 42,42 equal: Goal Reached	0.969618	hs_5	mult_heuristic
[ 96, 14, 19, 93 ]	36	[ "96+14=110", "93-19=74", "110-74=36" ]	Current State: 36:[96, 14, 19, 93], Operations: [] Exploring Operation: 96+14=110, Resulting Numbers: [19, 93, 110] Generated Node #2: [19, 93, 110] from Operation: 96+14=110 Current State: 36:[19, 93, 110], Operations: ['96+14=110'] Exploring Operation: 93-19=74, Resulting Numbers: [110, 74] Generated Node #3: [110, 74] from Operation: 93-19=74 Current State: 36:[110, 74], Operations: ['96+14=110', '93-19=74'] Exploring Operation: 110-74=36, Resulting Numbers: [36] 36,36 equal: Goal Reached	4	Current State: 36:[96, 14, 19, 93], Operations: [] Exploring Operation: 96-93=3, Resulting Numbers: [14, 19, 3] Generated Node #0,0: 36:[14, 19, 3] Operation: 96-93=3 Exploring Operation: 96-19=77, Resulting Numbers: [14, 93, 77] Generated Node #0,1: 36:[14, 93, 77] Operation: 96-19=77 Moving to Node #0,0 Current State: 36:[14, 19, 3], Operations: ['96-93=3'] Exploring Operation: 19-14=5, Resulting Numbers: [3, 5] Generated Node #0,0,0: 36:[3, 5] Operation: 19-14=5 Exploring Operation: 14+3=17, Resulting Numbers: [19, 17] Generated Node #0,0,1: 36:[19, 17] Operation: 14+3=17 Moving to Node #0,1 Current State: 36:[14, 93, 77], Operations: ['96-19=77'] Exploring Operation: 93-14=79, Resulting Numbers: [77, 79] Generated Node #0,1,0: 36:[77, 79] Operation: 93-14=79 Exploring Operation: 93-77=16, Resulting Numbers: [14, 16] Generated Node #0,1,1: 36:[14, 16] Operation: 93-77=16 Moving to Node #0,0,0 Current State: 36:[3, 5], Operations: ['96-93=3', '19-14=5'] Exploring Operation: 5-3=2, Resulting Numbers: [2] 2,36 unequal: No Solution Exploring Operation: 3+5=8, Resulting Numbers: [8] 8,36 unequal: No Solution Moving to Node #0,0,1 Current State: 36:[19, 17], Operations: ['96-93=3', '14+3=17'] Exploring Operation: 19+17=36, Resulting Numbers: [36] 36,36 equal: Goal Reached Moving to Node #0 Current State: 36:[96, 14, 19, 93], Operations: [] Exploring Operation: 96-93=3, Resulting Numbers: [14, 19, 3] Generated Node #0,0: 36:[14, 19, 3] Operation: 96-93=3 Moving to Node #0,0 Current State: 36:[14, 19, 3], Operations: ['96-93=3'] Exploring Operation: 14+3=17, Resulting Numbers: [19, 17] Generated Node #0,0,1: 36:[19, 17] Operation: 14+3=17 Moving to Node #0,0,1 Current State: 36:[19, 17], Operations: ['96-93=3', '14+3=17'] Exploring Operation: 19+17=36, Resulting Numbers: [36] 36,36 equal: Goal Reached	0.988715	hs_2	sum_heuristic
[ 82, 76, 64, 28 ]	98	[ "82-76=6", "64+28=92", "6+92=98" ]	Current State: 98:[82, 76, 64, 28], Operations: [] Exploring Operation: 82-76=6, Resulting Numbers: [64, 28, 6] Generated Node #2: [64, 28, 6] from Operation: 82-76=6 Current State: 98:[64, 28, 6], Operations: ['82-76=6'] Exploring Operation: 64+28=92, Resulting Numbers: [6, 92] Generated Node #3: [6, 92] from Operation: 64+28=92 Current State: 98:[6, 92], Operations: ['82-76=6', '64+28=92'] Exploring Operation: 6+92=98, Resulting Numbers: [98] 98,98 equal: Goal Reached	4	Current State: 98:[82, 76, 64, 28], Operations: [] Exploring Operation: 76-64=12, Resulting Numbers: [82, 28, 12] Generated Node #0,0: 98:[82, 28, 12] Operation: 76-64=12 Exploring Operation: 76+28=104, Resulting Numbers: [82, 64, 104] Generated Node #0,1: 98:[82, 64, 104] Operation: 76+28=104 Exploring Operation: 76-28=48, Resulting Numbers: [82, 64, 48] Generated Node #0,2: 98:[82, 64, 48] Operation: 76-28=48 Exploring Operation: 82-76=6, Resulting Numbers: [64, 28, 6] Generated Node #0,3: 98:[64, 28, 6] Operation: 82-76=6 Moving to Node #0,3 Current State: 98:[64, 28, 6], Operations: ['82-76=6'] Exploring Operation: 64-28=36, Resulting Numbers: [6, 36] Generated Node #0,3,0: 98:[6, 36] Operation: 64-28=36 Exploring Operation: 64-6=58, Resulting Numbers: [28, 58] Generated Node #0,3,1: 98:[28, 58] Operation: 64-6=58 Exploring Operation: 64+28=92, Resulting Numbers: [6, 92] Generated Node #0,3,2: 98:[6, 92] Operation: 64+28=92 Exploring Operation: 28-6=22, Resulting Numbers: [64, 22] Generated Node #0,3,3: 98:[64, 22] Operation: 28-6=22 Moving to Node #0,2 Current State: 98:[82, 64, 48], Operations: ['76-28=48'] Exploring Operation: 82-64=18, Resulting Numbers: [48, 18] Generated Node #0,2,0: 98:[48, 18] Operation: 82-64=18 Exploring Operation: 82-48=34, Resulting Numbers: [64, 34] Generated Node #0,2,1: 98:[64, 34] Operation: 82-48=34 Exploring Operation: 64-48=16, Resulting Numbers: [82, 16] Generated Node #0,2,2: 98:[82, 16] Operation: 64-48=16 Exploring Operation: 64+48=112, Resulting Numbers: [82, 112] Generated Node #0,2,3: 98:[82, 112] Operation: 64+48=112 Moving to Node #0,0 Current State: 98:[82, 28, 12], Operations: ['76-64=12'] Exploring Operation: 28-12=16, Resulting Numbers: [82, 16] Generated Node #0,0,0: 98:[82, 16] Operation: 28-12=16 Exploring Operation: 82+12=94, Resulting Numbers: [28, 94] Generated Node #0,0,1: 98:[28, 94] Operation: 82+12=94 Exploring Operation: 82+28=110, Resulting Numbers: [12, 110] Generated Node #0,0,2: 98:[12, 110] Operation: 82+28=110 Exploring Operation: 82-28=54, Resulting Numbers: [12, 54] Generated Node #0,0,3: 98:[12, 54] Operation: 82-28=54 Moving to Node #0,1 Current State: 98:[82, 64, 104], Operations: ['76+28=104'] Exploring Operation: 104-64=40, Resulting Numbers: [82, 40] Generated Node #0,1,0: 98:[82, 40] Operation: 104-64=40 Exploring Operation: 82+64=146, Resulting Numbers: [104, 146] Generated Node #0,1,1: 98:[104, 146] Operation: 82+64=146 Exploring Operation: 104-82=22, Resulting Numbers: [64, 22] Generated Node #0,1,2: 98:[64, 22] Operation: 104-82=22 Exploring Operation: 82-64=18, Resulting Numbers: [104, 18] Generated Node #0,1,3: 98:[104, 18] Operation: 82-64=18 Moving to Node #0,2,0 Current State: 98:[48, 18], Operations: ['76-28=48', '82-64=18'] Exploring Operation: 48+18=66, Resulting Numbers: [66] 66,98 unequal: No Solution Exploring Operation: 48*18=864, Resulting Numbers: [864] 864,98 unequal: No Solution Exploring Operation: 48-18=30, Resulting Numbers: [30] 30,98 unequal: No Solution Moving to Node #0,3,2 Current State: 98:[6, 92], Operations: ['82-76=6', '64+28=92'] Exploring Operation: 92-6=86, Resulting Numbers: [86] 86,98 unequal: No Solution Exploring Operation: 6+92=98, Resulting Numbers: [98] 98,98 equal: Goal Reached Moving to Node #0 Current State: 98:[82, 76, 64, 28], Operations: [] Exploring Operation: 82-76=6, Resulting Numbers: [64, 28, 6] Generated Node #0,3: 98:[64, 28, 6] Operation: 82-76=6 Moving to Node #0,3 Current State: 98:[64, 28, 6], Operations: ['82-76=6'] Exploring Operation: 64+28=92, Resulting Numbers: [6, 92] Generated Node #0,3,2: 98:[6, 92] Operation: 64+28=92 Moving to Node #0,3,2 Current State: 98:[6, 92], Operations: ['82-76=6', '64+28=92'] Exploring Operation: 6+92=98, Resulting Numbers: [98] 98,98 equal: Goal Reached	0.974826	hs_4	sum_heuristic
[ 6, 59, 62, 66 ]	75	[ "59-6=53", "62+66=128", "128-53=75" ]	Current State: 75:[6, 59, 62, 66], Operations: [] Exploring Operation: 59-6=53, Resulting Numbers: [62, 66, 53] Generated Node #2: [62, 66, 53] from Operation: 59-6=53 Current State: 75:[62, 66, 53], Operations: ['59-6=53'] Exploring Operation: 62+66=128, Resulting Numbers: [53, 128] Generated Node #3: [53, 128] from Operation: 62+66=128 Current State: 75:[53, 128], Operations: ['59-6=53', '62+66=128'] Exploring Operation: 128-53=75, Resulting Numbers: [75] 75,75 equal: Goal Reached	4	Current State: 75:[6, 59, 62, 66], Operations: [] Exploring Operation: 66-62=4, Resulting Numbers: [6, 59, 4] Generated Node #0,0: 75:[6, 59, 4] Operation: 66-62=4 Exploring Operation: 66-59=7, Resulting Numbers: [6, 62, 7] Generated Node #0,1: 75:[6, 62, 7] Operation: 66-59=7 Exploring Operation: 62-59=3, Resulting Numbers: [6, 66, 3] Generated Node #0,2: 75:[6, 66, 3] Operation: 62-59=3 Moving to Node #0,2 Current State: 75:[6, 66, 3], Operations: ['62-59=3'] Exploring Operation: 66/6=11, Resulting Numbers: [3, 11] Generated Node #0,2,0: 75:[3, 11] Operation: 66/6=11 Exploring Operation: 6+66=72, Resulting Numbers: [3, 72] Generated Node #0,2,1: 75:[3, 72] Operation: 6+66=72 Exploring Operation: 66/3=22, Resulting Numbers: [6, 22] Generated Node #0,2,2: 75:[6, 22] Operation: 66/3=22 Moving to Node #0,1 Current State: 75:[6, 62, 7], Operations: ['66-59=7'] Exploring Operation: 6+62=68, Resulting Numbers: [7, 68] Generated Node #0,1,0: 75:[7, 68] Operation: 6+62=68 Exploring Operation: 62+7=69, Resulting Numbers: [6, 69] Generated Node #0,1,1: 75:[6, 69] Operation: 62+7=69 Exploring Operation: 6+7=13, Resulting Numbers: [62, 13] Generated Node #0,1,2: 75:[62, 13] Operation: 6+7=13 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 75:[6, 69], Operations: ['66-59=7', '62+7=69'] Exploring Operation: 69-6=63, Resulting Numbers: [63] 63,75 unequal: No Solution Exploring Operation: 6*69=414, Resulting Numbers: [414] 414,75 unequal: No Solution Exploring Operation: 6+69=75, Resulting Numbers: [75] 75,75 equal: Goal Reached Moving to Node #0 Current State: 75:[6, 59, 62, 66], Operations: [] Exploring Operation: 66-59=7, Resulting Numbers: [6, 62, 7] Generated Node #0,1: 75:[6, 62, 7] Operation: 66-59=7 Moving to Node #0,1 Current State: 75:[6, 62, 7], Operations: ['66-59=7'] Exploring Operation: 62+7=69, Resulting Numbers: [6, 69] Generated Node #0,1,1: 75:[6, 69] Operation: 62+7=69 Moving to Node #0,1,1 Current State: 75:[6, 69], Operations: ['66-59=7', '62+7=69'] Exploring Operation: 6+69=75, Resulting Numbers: [75] 75,75 equal: Goal Reached Exit Sub Search at level 1	0.986111	hs_3	mult_heuristic
[ 10, 96, 14, 59 ]	35	[ "14-10=4", "96/4=24", "59-24=35" ]	Current State: 35:[10, 96, 14, 59], Operations: [] Exploring Operation: 14-10=4, Resulting Numbers: [96, 59, 4] Generated Node #2: [96, 59, 4] from Operation: 14-10=4 Current State: 35:[96, 59, 4], Operations: ['14-10=4'] Exploring Operation: 96/4=24, Resulting Numbers: [59, 24] Generated Node #3: [59, 24] from Operation: 96/4=24 Current State: 35:[59, 24], Operations: ['14-10=4', '96/4=24'] Exploring Operation: 59-24=35, Resulting Numbers: [35] 35,35 equal: Goal Reached	4	Current State: 35:[10, 96, 14, 59], Operations: [] Exploring Operation: 96-59=37, Resulting Numbers: [10, 14, 37] Generated Node #0,0: 35:[10, 14, 37] Operation: 96-59=37 Exploring Operation: 96-14=82, Resulting Numbers: [10, 59, 82] Generated Node #0,1: 35:[10, 59, 82] Operation: 96-14=82 Exploring Operation: 59-14=45, Resulting Numbers: [10, 96, 45] Generated Node #0,2: 35:[10, 96, 45] Operation: 59-14=45 Start Sub Search at level 1: Moving to Node #0,0 Current State: 35:[10, 14, 37], Operations: ['96-59=37'] Exploring Operation: 37-10=27, Resulting Numbers: [14, 27] Generated Node #0,0,0: 35:[14, 27] Operation: 37-10=27 Exploring Operation: 10+14=24, Resulting Numbers: [37, 24] Generated Node #0,0,1: 35:[37, 24] Operation: 10+14=24 Exploring Operation: 14-10=4, Resulting Numbers: [37, 4] Generated Node #0,0,2: 35:[37, 4] Operation: 14-10=4 Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 35:[37, 4], Operations: ['96-59=37', '14-10=4'] Exploring Operation: 37-4=33, Resulting Numbers: [33] 33,35 unequal: No Solution Exploring Operation: 37+4=41, Resulting Numbers: [41] 41,35 unequal: No Solution Exploring Operation: 374=148, Resulting Numbers: [148] 148,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 35:[37, 24], Operations: ['96-59=37', '10+14=24'] Exploring Operation: 3724=888, Resulting Numbers: [888] 888,35 unequal: No Solution Exploring Operation: 37-24=13, Resulting Numbers: [13] 13,35 unequal: No Solution Exploring Operation: 37+24=61, Resulting Numbers: [61] 61,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 35:[14, 27], Operations: ['96-59=37', '37-10=27'] Exploring Operation: 14+27=41, Resulting Numbers: [41] 41,35 unequal: No Solution Exploring Operation: 1427=378, Resulting Numbers: [378] 378,35 unequal: No Solution Exploring Operation: 27-14=13, Resulting Numbers: [13] 13,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 35:[10, 59, 82], Operations: ['96-14=82'] Exploring Operation: 82-10=72, Resulting Numbers: [59, 72] Generated Node #0,1,0: 35:[59, 72] Operation: 82-10=72 Exploring Operation: 59-10=49, Resulting Numbers: [82, 49] Generated Node #0,1,1: 35:[82, 49] Operation: 59-10=49 Exploring Operation: 82-59=23, Resulting Numbers: [10, 23] Generated Node #0,1,2: 35:[10, 23] Operation: 82-59=23 Moving to Node #0,1,2 Current State: 35:[10, 23], Operations: ['96-14=82', '82-59=23'] Exploring Operation: 1023=230, Resulting Numbers: [230] 230,35 unequal: No Solution Exploring Operation: 10+23=33, Resulting Numbers: [33] 33,35 unequal: No Solution Exploring Operation: 23-10=13, Resulting Numbers: [13] 13,35 unequal: No Solution Moving to Node #0,1,0 Current State: 35:[59, 72], Operations: ['96-14=82', '82-10=72'] Exploring Operation: 72-59=13, Resulting Numbers: [13] 13,35 unequal: No Solution Exploring Operation: 5972=4248, Resulting Numbers: [4248] 4248,35 unequal: No Solution Exploring Operation: 59+72=131, Resulting Numbers: [131] 131,35 unequal: No Solution Moving to Node #0,1,1 Current State: 35:[82, 49], Operations: ['96-14=82', '59-10=49'] Exploring Operation: 82-49=33, Resulting Numbers: [33] 33,35 unequal: No Solution Exploring Operation: 8249=4018, Resulting Numbers: [4018] 4018,35 unequal: No Solution Exploring Operation: 82+49=131, Resulting Numbers: [131] 131,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 35:[10, 96, 45], Operations: ['59-14=45'] Exploring Operation: 96-45=51, Resulting Numbers: [10, 51] Generated Node #0,2,0: 35:[10, 51] Operation: 96-45=51 Exploring Operation: 96-10=86, Resulting Numbers: [45, 86] Generated Node #0,2,1: 35:[45, 86] Operation: 96-10=86 Exploring Operation: 45-10=35, Resulting Numbers: [96, 35] Generated Node #0,2,2: 35:[96, 35] Operation: 45-10=35 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 35:[10, 51], Operations: ['59-14=45', '96-45=51'] Exploring Operation: 1051=510, Resulting Numbers: [510] 510,35 unequal: No Solution Exploring Operation: 51-10=41, Resulting Numbers: [41] 41,35 unequal: No Solution Exploring Operation: 10+51=61, Resulting Numbers: [61] 61,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 35:[45, 86], Operations: ['59-14=45', '96-10=86'] Exploring Operation: 86-45=41, Resulting Numbers: [41] 41,35 unequal: No Solution Exploring Operation: 4586=3870, Resulting Numbers: [3870] 3870,35 unequal: No Solution Exploring Operation: 45+86=131, Resulting Numbers: [131] 131,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 35:[96, 35], Operations: ['59-14=45', '45-10=35'] Exploring Operation: 96-35=61, Resulting Numbers: [61] 61,35 unequal: No Solution Exploring Operation: 96*35=3360, Resulting Numbers: [3360] 3360,35 unequal: No Solution Exploring Operation: 96+35=131, Resulting Numbers: [131] 131,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_3	mult_heuristic
[ 36, 69, 57, 55 ]	87	[ "57-55=2", "36/2=18", "69+18=87" ]	Current State: 87:[36, 69, 57, 55], Operations: [] Exploring Operation: 57-55=2, Resulting Numbers: [36, 69, 2] Generated Node #2: [36, 69, 2] from Operation: 57-55=2 Current State: 87:[36, 69, 2], Operations: ['57-55=2'] Exploring Operation: 36/2=18, Resulting Numbers: [69, 18] Generated Node #3: [69, 18] from Operation: 36/2=18 Current State: 87:[69, 18], Operations: ['57-55=2', '36/2=18'] Exploring Operation: 69+18=87, Resulting Numbers: [87] 87,87 equal: Goal Reached	4	Current State: 87:[36, 69, 57, 55], Operations: [] Exploring Operation: 57-55=2, Resulting Numbers: [36, 69, 2] Generated Node #0,0: 87:[36, 69, 2] Operation: 57-55=2 Exploring Operation: 69-57=12, Resulting Numbers: [36, 55, 12] Generated Node #0,1: 87:[36, 55, 12] Operation: 69-57=12 Exploring Operation: 36+57=93, Resulting Numbers: [69, 55, 93] Generated Node #0,2: 87:[69, 55, 93] Operation: 36+57=93 Exploring Operation: 36+55=91, Resulting Numbers: [69, 57, 91] Generated Node #0,3: 87:[69, 57, 91] Operation: 36+55=91 Exploring Operation: 69-55=14, Resulting Numbers: [36, 57, 14] Generated Node #0,4: 87:[36, 57, 14] Operation: 69-55=14 Moving to Node #0,0 Current State: 87:[36, 69, 2], Operations: ['57-55=2'] Exploring Operation: 36+2=38, Resulting Numbers: [69, 38] Generated Node #0,0,0: 87:[69, 38] Operation: 36+2=38 Exploring Operation: 69-36=33, Resulting Numbers: [2, 33] Generated Node #0,0,1: 87:[2, 33] Operation: 69-36=33 Exploring Operation: 69+2=71, Resulting Numbers: [36, 71] Generated Node #0,0,2: 87:[36, 71] Operation: 69+2=71 Exploring Operation: 36-2=34, Resulting Numbers: [69, 34] Generated Node #0,0,3: 87:[69, 34] Operation: 36-2=34 Exploring Operation: 36+69=105, Resulting Numbers: [2, 105] Generated Node #0,0,4: 87:[2, 105] Operation: 36+69=105 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 87:[2, 33], Operations: ['57-55=2', '69-36=33'] Exploring Operation: 233=66, Resulting Numbers: [66] 66,87 unequal: No Solution Exploring Operation: 2+33=35, Resulting Numbers: [35] 35,87 unequal: No Solution Exploring Operation: 33-2=31, Resulting Numbers: [31] 31,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 87:[2, 105], Operations: ['57-55=2', '36+69=105'] Exploring Operation: 2105=210, Resulting Numbers: [210] 210,87 unequal: No Solution Exploring Operation: 2+105=107, Resulting Numbers: [107] 107,87 unequal: No Solution Exploring Operation: 105-2=103, Resulting Numbers: [103] 103,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 87:[36, 71], Operations: ['57-55=2', '69+2=71'] Exploring Operation: 36+71=107, Resulting Numbers: [107] 107,87 unequal: No Solution Exploring Operation: 71-36=35, Resulting Numbers: [35] 35,87 unequal: No Solution Exploring Operation: 3671=2556, Resulting Numbers: [2556] 2556,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 87:[69, 34], Operations: ['57-55=2', '36-2=34'] Exploring Operation: 69+34=103, Resulting Numbers: [103] 103,87 unequal: No Solution Exploring Operation: 69-34=35, Resulting Numbers: [35] 35,87 unequal: No Solution Exploring Operation: 6934=2346, Resulting Numbers: [2346] 2346,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 87:[69, 38], Operations: ['57-55=2', '36+2=38'] Exploring Operation: 69-38=31, Resulting Numbers: [31] 31,87 unequal: No Solution Exploring Operation: 6938=2622, Resulting Numbers: [2622] 2622,87 unequal: No Solution Exploring Operation: 69+38=107, Resulting Numbers: [107] 107,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 87:[36, 55, 12], Operations: ['69-57=12'] Exploring Operation: 55-12=43, Resulting Numbers: [36, 43] Generated Node #0,1,0: 87:[36, 43] Operation: 55-12=43 Exploring Operation: 55+12=67, Resulting Numbers: [36, 67] Generated Node #0,1,1: 87:[36, 67] Operation: 55+12=67 Exploring Operation: 55-36=19, Resulting Numbers: [12, 19] Generated Node #0,1,2: 87:[12, 19] Operation: 55-36=19 Exploring Operation: 36+55=91, Resulting Numbers: [12, 91] Generated Node #0,1,3: 87:[12, 91] Operation: 36+55=91 Exploring Operation: 36/12=3, Resulting Numbers: [55, 3] Generated Node #0,1,4: 87:[55, 3] Operation: 36/12=3 Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 87:[12, 91], Operations: ['69-57=12', '36+55=91'] Exploring Operation: 91-12=79, Resulting Numbers: [79] 79,87 unequal: No Solution Exploring Operation: 12+91=103, Resulting Numbers: [103] 103,87 unequal: No Solution Exploring Operation: 1291=1092, Resulting Numbers: [1092] 1092,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 87:[12, 19], Operations: ['69-57=12', '55-36=19'] Exploring Operation: 12+19=31, Resulting Numbers: [31] 31,87 unequal: No Solution Exploring Operation: 1219=228, Resulting Numbers: [228] 228,87 unequal: No Solution Exploring Operation: 19-12=7, Resulting Numbers: [7] 7,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 87:[36, 43], Operations: ['69-57=12', '55-12=43'] Exploring Operation: 43-36=7, Resulting Numbers: [7] 7,87 unequal: No Solution Exploring Operation: 3643=1548, Resulting Numbers: [1548] 1548,87 unequal: No Solution Exploring Operation: 36+43=79, Resulting Numbers: [79] 79,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 87:[55, 3], Operations: ['69-57=12', '36/12=3'] Exploring Operation: 553=165, Resulting Numbers: [165] 165,87 unequal: No Solution Exploring Operation: 55+3=58, Resulting Numbers: [58] 58,87 unequal: No Solution Exploring Operation: 55-3=52, Resulting Numbers: [52] 52,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 87:[36, 67], Operations: ['69-57=12', '55+12=67'] Exploring Operation: 67-36=31, Resulting Numbers: [31] 31,87 unequal: No Solution Exploring Operation: 36+67=103, Resulting Numbers: [103] 103,87 unequal: No Solution Exploring Operation: 3667=2412, Resulting Numbers: [2412] 2412,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,4 Current State: 87:[36, 57, 14], Operations: ['69-55=14'] Exploring Operation: 36-14=22, Resulting Numbers: [57, 22] Generated Node #0,4,0: 87:[57, 22] Operation: 36-14=22 Exploring Operation: 57+14=71, Resulting Numbers: [36, 71] Generated Node #0,4,1: 87:[36, 71] Operation: 57+14=71 Exploring Operation: 57-14=43, Resulting Numbers: [36, 43] Generated Node #0,4,2: 87:[36, 43] Operation: 57-14=43 Exploring Operation: 57-36=21, Resulting Numbers: [14, 21] Generated Node #0,4,3: 87:[14, 21] Operation: 57-36=21 Exploring Operation: 36+57=93, Resulting Numbers: [14, 93] Generated Node #0,4,4: 87:[14, 93] Operation: 36+57=93 Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 87:[14, 93], Operations: ['69-55=14', '36+57=93'] Exploring Operation: 1493=1302, Resulting Numbers: [1302] 1302,87 unequal: No Solution Exploring Operation: 14+93=107, Resulting Numbers: [107] 107,87 unequal: No Solution Exploring Operation: 93-14=79, Resulting Numbers: [79] 79,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 87:[14, 21], Operations: ['69-55=14', '57-36=21'] Exploring Operation: 21-14=7, Resulting Numbers: [7] 7,87 unequal: No Solution Exploring Operation: 14+21=35, Resulting Numbers: [35] 35,87 unequal: No Solution Exploring Operation: 1421=294, Resulting Numbers: [294] 294,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 87:[36, 43], Operations: ['69-55=14', '57-14=43'] Exploring Operation: 36+43=79, Resulting Numbers: [79] 79,87 unequal: No Solution Exploring Operation: 3643=1548, Resulting Numbers: [1548] 1548,87 unequal: No Solution Exploring Operation: 43-36=7, Resulting Numbers: [7] 7,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 87:[36, 71], Operations: ['69-55=14', '57+14=71'] Exploring Operation: 3671=2556, Resulting Numbers: [2556] 2556,87 unequal: No Solution Exploring Operation: 71-36=35, Resulting Numbers: [35] 35,87 unequal: No Solution Exploring Operation: 36+71=107, Resulting Numbers: [107] 107,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 87:[57, 22], Operations: ['69-55=14', '36-14=22'] Exploring Operation: 57+22=79, Resulting Numbers: [79] 79,87 unequal: No Solution Exploring Operation: 5722=1254, Resulting Numbers: [1254] 1254,87 unequal: No Solution Exploring Operation: 57-22=35, Resulting Numbers: [35] 35,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 87:[69, 55, 93], Operations: ['36+57=93'] Exploring Operation: 93-55=38, Resulting Numbers: [69, 38] Generated Node #0,2,0: 87:[69, 38] Operation: 93-55=38 Exploring Operation: 69+55=124, Resulting Numbers: [93, 124] Generated Node #0,2,1: 87:[93, 124] Operation: 69+55=124 Exploring Operation: 93-69=24, Resulting Numbers: [55, 24] Generated Node #0,2,2: 87:[55, 24] Operation: 93-69=24 Exploring Operation: 69-55=14, Resulting Numbers: [93, 14] Generated Node #0,2,3: 87:[93, 14] Operation: 69-55=14 Exploring Operation: 55+93=148, Resulting Numbers: [69, 148] Generated Node #0,2,4: 87:[69, 148] Operation: 55+93=148 Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 87:[93, 14], Operations: ['36+57=93', '69-55=14'] Exploring Operation: 9314=1302, Resulting Numbers: [1302] 1302,87 unequal: No Solution Exploring Operation: 93-14=79, Resulting Numbers: [79] 79,87 unequal: No Solution Exploring Operation: 93+14=107, Resulting Numbers: [107] 107,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 87:[69, 38], Operations: ['36+57=93', '93-55=38'] Exploring Operation: 69-38=31, Resulting Numbers: [31] 31,87 unequal: No Solution Exploring Operation: 69+38=107, Resulting Numbers: [107] 107,87 unequal: No Solution Exploring Operation: 6938=2622, Resulting Numbers: [2622] 2622,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 87:[55, 24], Operations: ['36+57=93', '93-69=24'] Exploring Operation: 55-24=31, Resulting Numbers: [31] 31,87 unequal: No Solution Exploring Operation: 5524=1320, Resulting Numbers: [1320] 1320,87 unequal: No Solution Exploring Operation: 55+24=79, Resulting Numbers: [79] 79,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 87:[93, 124], Operations: ['36+57=93', '69+55=124'] Exploring Operation: 124-93=31, Resulting Numbers: [31] 31,87 unequal: No Solution Exploring Operation: 93124=11532, Resulting Numbers: [11532] 11532,87 unequal: No Solution Exploring Operation: 93+124=217, Resulting Numbers: [217] 217,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 87:[69, 148], Operations: ['36+57=93', '55+93=148'] Exploring Operation: 69148=10212, Resulting Numbers: [10212] 10212,87 unequal: No Solution Exploring Operation: 148-69=79, Resulting Numbers: [79] 79,87 unequal: No Solution Exploring Operation: 69+148=217, Resulting Numbers: [217] 217,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 87:[69, 57, 91], Operations: ['36+55=91'] Exploring Operation: 57+91=148, Resulting Numbers: [69, 148] Generated Node #0,3,0: 87:[69, 148] Operation: 57+91=148 Exploring Operation: 69+57=126, Resulting Numbers: [91, 126] Generated Node #0,3,1: 87:[91, 126] Operation: 69+57=126 Exploring Operation: 69-57=12, Resulting Numbers: [91, 12] Generated Node #0,3,2: 87:[91, 12] Operation: 69-57=12 Exploring Operation: 91-57=34, Resulting Numbers: [69, 34] Generated Node #0,3,3: 87:[69, 34] Operation: 91-57=34 Exploring Operation: 91-69=22, Resulting Numbers: [57, 22] Generated Node #0,3,4: 87:[57, 22] Operation: 91-69=22 Moving to Node #0,3,2 Current State: 87:[91, 12], Operations: ['36+55=91', '69-57=12'] Exploring Operation: 91-12=79, Resulting Numbers: [79] 79,87 unequal: No Solution Exploring Operation: 91+12=103, Resulting Numbers: [103] 103,87 unequal: No Solution Exploring Operation: 9112=1092, Resulting Numbers: [1092] 1092,87 unequal: No Solution Moving to Node #0,3,3 Current State: 87:[69, 34], Operations: ['36+55=91', '91-57=34'] Exploring Operation: 6934=2346, Resulting Numbers: [2346] 2346,87 unequal: No Solution Exploring Operation: 69+34=103, Resulting Numbers: [103] 103,87 unequal: No Solution Exploring Operation: 69-34=35, Resulting Numbers: [35] 35,87 unequal: No Solution Moving to Node #0,3,4 Current State: 87:[57, 22], Operations: ['36+55=91', '91-69=22'] Exploring Operation: 57+22=79, Resulting Numbers: [79] 79,87 unequal: No Solution Exploring Operation: 57-22=35, Resulting Numbers: [35] 35,87 unequal: No Solution Exploring Operation: 5722=1254, Resulting Numbers: [1254] 1254,87 unequal: No Solution Moving to Node #0,3,1 Current State: 87:[91, 126], Operations: ['36+55=91', '69+57=126'] Exploring Operation: 91126=11466, Resulting Numbers: [11466] 11466,87 unequal: No Solution Exploring Operation: 126-91=35, Resulting Numbers: [35] 35,87 unequal: No Solution Exploring Operation: 91+126=217, Resulting Numbers: [217] 217,87 unequal: No Solution Moving to Node #0,3,0 Current State: 87:[69, 148], Operations: ['36+55=91', '57+91=148'] Exploring Operation: 69+148=217, Resulting Numbers: [217] 217,87 unequal: No Solution Exploring Operation: 148-69=79, Resulting Numbers: [79] 79,87 unequal: No Solution Exploring Operation: 69*148=10212, Resulting Numbers: [10212] 10212,87 unequal: No Solution No solution found.	0	hs_5	sum_heuristic
[ 90, 15, 62, 7 ]	91	[ "90-15=75", "75-62=13", "7*13=91" ]	Current State: 91:[90, 15, 62, 7], Operations: [] Exploring Operation: 90-15=75, Resulting Numbers: [62, 7, 75] Generated Node #2: [62, 7, 75] from Operation: 90-15=75 Current State: 91:[62, 7, 75], Operations: ['90-15=75'] Exploring Operation: 75-62=13, Resulting Numbers: [7, 13] Generated Node #3: [7, 13] from Operation: 75-62=13 Current State: 91:[7, 13], Operations: ['90-15=75', '75-62=13'] Exploring Operation: 7*13=91, Resulting Numbers: [91] 91,91 equal: Goal Reached	4	Current State: 91:[90, 15, 62, 7], Operations: [] Exploring Operation: 90-62=28, Resulting Numbers: [15, 7, 28] Generated Node #0,0: 91:[15, 7, 28] Operation: 90-62=28 Exploring Operation: 15+62=77, Resulting Numbers: [90, 7, 77] Generated Node #0,1: 91:[90, 7, 77] Operation: 15+62=77 Exploring Operation: 62+7=69, Resulting Numbers: [90, 15, 69] Generated Node #0,2: 91:[90, 15, 69] Operation: 62+7=69 Moving to Node #0,1 Current State: 91:[90, 7, 77], Operations: ['15+62=77'] Exploring Operation: 77/7=11, Resulting Numbers: [90, 11] Generated Node #0,1,0: 91:[90, 11] Operation: 77/7=11 Exploring Operation: 7+77=84, Resulting Numbers: [90, 84] Generated Node #0,1,1: 91:[90, 84] Operation: 7+77=84 Exploring Operation: 90-77=13, Resulting Numbers: [7, 13] Generated Node #0,1,2: 91:[7, 13] Operation: 90-77=13 Moving to Node #0,0 Current State: 91:[15, 7, 28], Operations: ['90-62=28'] Exploring Operation: 28-15=13, Resulting Numbers: [7, 13] Generated Node #0,0,0: 91:[7, 13] Operation: 28-15=13 Exploring Operation: 28-7=21, Resulting Numbers: [15, 21] Generated Node #0,0,1: 91:[15, 21] Operation: 28-7=21 Exploring Operation: 28/7=4, Resulting Numbers: [15, 4] Generated Node #0,0,2: 91:[15, 4] Operation: 28/7=4 Moving to Node #0,2 Current State: 91:[90, 15, 69], Operations: ['62+7=69'] Exploring Operation: 15+69=84, Resulting Numbers: [90, 84] Generated Node #0,2,0: 91:[90, 84] Operation: 15+69=84 Exploring Operation: 90-69=21, Resulting Numbers: [15, 21] Generated Node #0,2,1: 91:[15, 21] Operation: 90-69=21 Exploring Operation: 90/15=6, Resulting Numbers: [69, 6] Generated Node #0,2,2: 91:[69, 6] Operation: 90/15=6 Moving to Node #0,1,2 Current State: 91:[7, 13], Operations: ['15+62=77', '90-77=13'] Exploring Operation: 7+13=20, Resulting Numbers: [20] 20,91 unequal: No Solution Exploring Operation: 13-7=6, Resulting Numbers: [6] 6,91 unequal: No Solution Exploring Operation: 713=91, Resulting Numbers: [91] 91,91 equal: Goal Reached Moving to Node #0 Current State: 91:[90, 15, 62, 7], Operations: [] Exploring Operation: 15+62=77, Resulting Numbers: [90, 7, 77] Generated Node #0,1: 91:[90, 7, 77] Operation: 15+62=77 Moving to Node #0,1 Current State: 91:[90, 7, 77], Operations: ['15+62=77'] Exploring Operation: 90-77=13, Resulting Numbers: [7, 13] Generated Node #0,1,2: 91:[7, 13] Operation: 90-77=13 Moving to Node #0,1,2 Current State: 91:[7, 13], Operations: ['15+62=77', '90-77=13'] Exploring Operation: 713=91, Resulting Numbers: [91] 91,91 equal: Goal Reached	0.983507	hs_3	mult_heuristic
[ 38, 63, 85, 18 ]	78	[ "63-38=25", "85+18=103", "103-25=78" ]	Current State: 78:[38, 63, 85, 18], Operations: [] Exploring Operation: 63-38=25, Resulting Numbers: [85, 18, 25] Generated Node #2: [85, 18, 25] from Operation: 63-38=25 Current State: 78:[85, 18, 25], Operations: ['63-38=25'] Exploring Operation: 85+18=103, Resulting Numbers: [25, 103] Generated Node #3: [25, 103] from Operation: 85+18=103 Current State: 78:[25, 103], Operations: ['63-38=25', '85+18=103'] Exploring Operation: 103-25=78, Resulting Numbers: [78] 78,78 equal: Goal Reached	4	Current State: 78:[38, 63, 85, 18], Operations: [] Exploring Operation: 85-63=22, Resulting Numbers: [38, 18, 22] Generated Node #0,0: 78:[38, 18, 22] Operation: 85-63=22 Exploring Operation: 63+18=81, Resulting Numbers: [38, 85, 81] Generated Node #0,1: 78:[38, 85, 81] Operation: 63+18=81 Exploring Operation: 63-38=25, Resulting Numbers: [85, 18, 25] Generated Node #0,2: 78:[85, 18, 25] Operation: 63-38=25 Start Sub Search at level 1: Moving to Node #0,0 Current State: 78:[38, 18, 22], Operations: ['85-63=22'] Exploring Operation: 38-22=16, Resulting Numbers: [18, 16] Generated Node #0,0,0: 78:[18, 16] Operation: 38-22=16 Exploring Operation: 22-18=4, Resulting Numbers: [38, 4] Generated Node #0,0,1: 78:[38, 4] Operation: 22-18=4 Exploring Operation: 18+22=40, Resulting Numbers: [38, 40] Generated Node #0,0,2: 78:[38, 40] Operation: 18+22=40 Moving to Node #0,0,1 Current State: 78:[38, 4], Operations: ['85-63=22', '22-18=4'] Exploring Operation: 38-4=34, Resulting Numbers: [34] 34,78 unequal: No Solution Exploring Operation: 38+4=42, Resulting Numbers: [42] 42,78 unequal: No Solution Exploring Operation: 384=152, Resulting Numbers: [152] 152,78 unequal: No Solution Moving to Node #0,0,2 Current State: 78:[38, 40], Operations: ['85-63=22', '18+22=40'] Exploring Operation: 40-38=2, Resulting Numbers: [2] 2,78 unequal: No Solution Exploring Operation: 3840=1520, Resulting Numbers: [1520] 1520,78 unequal: No Solution Exploring Operation: 38+40=78, Resulting Numbers: [78] 78,78 equal: Goal Reached Moving to Node #0 Current State: 78:[38, 63, 85, 18], Operations: [] Exploring Operation: 85-63=22, Resulting Numbers: [38, 18, 22] Generated Node #0,0: 78:[38, 18, 22] Operation: 85-63=22 Moving to Node #0,0 Current State: 78:[38, 18, 22], Operations: ['85-63=22'] Exploring Operation: 18+22=40, Resulting Numbers: [38, 40] Generated Node #0,0,2: 78:[38, 40] Operation: 18+22=40 Moving to Node #0,0,2 Current State: 78:[38, 40], Operations: ['85-63=22', '18+22=40'] Exploring Operation: 38+40=78, Resulting Numbers: [78] 78,78 equal: Goal Reached Exit Sub Search at level 1	0.986111	hs_3	mult_heuristic
[ 7, 36, 13, 25 ]	52	[ "36-7=29", "29-25=4", "13*4=52" ]	Current State: 52:[7, 36, 13, 25], Operations: [] Exploring Operation: 36-7=29, Resulting Numbers: [13, 25, 29] Generated Node #2: [13, 25, 29] from Operation: 36-7=29 Current State: 52:[13, 25, 29], Operations: ['36-7=29'] Exploring Operation: 29-25=4, Resulting Numbers: [13, 4] Generated Node #3: [13, 4] from Operation: 29-25=4 Current State: 52:[13, 4], Operations: ['36-7=29', '29-25=4'] Exploring Operation: 13*4=52, Resulting Numbers: [52] 52,52 equal: Goal Reached	4	Current State: 52:[7, 36, 13, 25], Operations: [] Exploring Operation: 36+13=49, Resulting Numbers: [7, 25, 49] Generated Node #0,0: 52:[7, 25, 49] Operation: 36+13=49 Exploring Operation: 36-13=23, Resulting Numbers: [7, 25, 23] Generated Node #0,1: 52:[7, 25, 23] Operation: 36-13=23 Exploring Operation: 36-25=11, Resulting Numbers: [7, 13, 11] Generated Node #0,2: 52:[7, 13, 11] Operation: 36-25=11 Exploring Operation: 36-7=29, Resulting Numbers: [13, 25, 29] Generated Node #0,3: 52:[13, 25, 29] Operation: 36-7=29 Moving to Node #0,3 Current State: 52:[13, 25, 29], Operations: ['36-7=29'] Exploring Operation: 29-25=4, Resulting Numbers: [13, 4] Generated Node #0,3,0: 52:[13, 4] Operation: 29-25=4 Exploring Operation: 25-13=12, Resulting Numbers: [29, 12] Generated Node #0,3,1: 52:[29, 12] Operation: 25-13=12 Exploring Operation: 29-13=16, Resulting Numbers: [25, 16] Generated Node #0,3,2: 52:[25, 16] Operation: 29-13=16 Exploring Operation: 25+29=54, Resulting Numbers: [13, 54] Generated Node #0,3,3: 52:[13, 54] Operation: 25+29=54 Moving to Node #0,2 Current State: 52:[7, 13, 11], Operations: ['36-25=11'] Exploring Operation: 13-11=2, Resulting Numbers: [7, 2] Generated Node #0,2,0: 52:[7, 2] Operation: 13-11=2 Exploring Operation: 11-7=4, Resulting Numbers: [13, 4] Generated Node #0,2,1: 52:[13, 4] Operation: 11-7=4 Exploring Operation: 13-7=6, Resulting Numbers: [11, 6] Generated Node #0,2,2: 52:[11, 6] Operation: 13-7=6 Exploring Operation: 7+11=18, Resulting Numbers: [13, 18] Generated Node #0,2,3: 52:[13, 18] Operation: 7+11=18 Moving to Node #0,1 Current State: 52:[7, 25, 23], Operations: ['36-13=23'] Exploring Operation: 23-7=16, Resulting Numbers: [25, 16] Generated Node #0,1,0: 52:[25, 16] Operation: 23-7=16 Exploring Operation: 25+23=48, Resulting Numbers: [7, 48] Generated Node #0,1,1: 52:[7, 48] Operation: 25+23=48 Exploring Operation: 7+23=30, Resulting Numbers: [25, 30] Generated Node #0,1,2: 52:[25, 30] Operation: 7+23=30 Exploring Operation: 25-23=2, Resulting Numbers: [7, 2] Generated Node #0,1,3: 52:[7, 2] Operation: 25-23=2 Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 52:[7, 2], Operations: ['36-13=23', '25-23=2'] Exploring Operation: 72=14, Resulting Numbers: [14] 14,52 unequal: No Solution Exploring Operation: 7+2=9, Resulting Numbers: [9] 9,52 unequal: No Solution Exploring Operation: 7-2=5, Resulting Numbers: [5] 5,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 52:[25, 16], Operations: ['36-13=23', '23-7=16'] Exploring Operation: 25-16=9, Resulting Numbers: [9] 9,52 unequal: No Solution Exploring Operation: 2516=400, Resulting Numbers: [400] 400,52 unequal: No Solution Exploring Operation: 25+16=41, Resulting Numbers: [41] 41,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 52:[25, 30], Operations: ['36-13=23', '7+23=30'] Exploring Operation: 25+30=55, Resulting Numbers: [55] 55,52 unequal: No Solution Exploring Operation: 2530=750, Resulting Numbers: [750] 750,52 unequal: No Solution Exploring Operation: 30-25=5, Resulting Numbers: [5] 5,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 52:[7, 48], Operations: ['36-13=23', '25+23=48'] Exploring Operation: 7+48=55, Resulting Numbers: [55] 55,52 unequal: No Solution Exploring Operation: 48-7=41, Resulting Numbers: [41] 41,52 unequal: No Solution Exploring Operation: 748=336, Resulting Numbers: [336] 336,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 52:[7, 25, 49], Operations: ['36+13=49'] Exploring Operation: 7+49=56, Resulting Numbers: [25, 56] Generated Node #0,0,0: 52:[25, 56] Operation: 7+49=56 Exploring Operation: 49-25=24, Resulting Numbers: [7, 24] Generated Node #0,0,1: 52:[7, 24] Operation: 49-25=24 Exploring Operation: 25-7=18, Resulting Numbers: [49, 18] Generated Node #0,0,2: 52:[49, 18] Operation: 25-7=18 Exploring Operation: 49/7=7, Resulting Numbers: [25, 7] Generated Node #0,0,3: 52:[25, 7] Operation: 49/7=7 Moving to Node #0,3,0 Current State: 52:[13, 4], Operations: ['36-7=29', '29-25=4'] Exploring Operation: 13+4=17, Resulting Numbers: [17] 17,52 unequal: No Solution Exploring Operation: 13-4=9, Resulting Numbers: [9] 9,52 unequal: No Solution Exploring Operation: 134=52, Resulting Numbers: [52] 52,52 equal: Goal Reached Moving to Node #0 Current State: 52:[7, 36, 13, 25], Operations: [] Exploring Operation: 36-7=29, Resulting Numbers: [13, 25, 29] Generated Node #0,3: 52:[13, 25, 29] Operation: 36-7=29 Moving to Node #0,3 Current State: 52:[13, 25, 29], Operations: ['36-7=29'] Exploring Operation: 29-25=4, Resulting Numbers: [13, 4] Generated Node #0,3,0: 52:[13, 4] Operation: 29-25=4 Moving to Node #0,3,0 Current State: 52:[13, 4], Operations: ['36-7=29', '29-25=4'] Exploring Operation: 134=52, Resulting Numbers: [52] 52,52 equal: Goal Reached	0.966146	hs_4	mult_heuristic
[ 6, 42, 20, 12 ]	94	[ "6*12=72", "42-20=22", "72+22=94" ]	Current State: 94:[6, 42, 20, 12], Operations: [] Exploring Operation: 612=72, Resulting Numbers: [42, 20, 72] Generated Node #2: [42, 20, 72] from Operation: 612=72 Current State: 94:[42, 20, 72], Operations: ['612=72'] Exploring Operation: 42-20=22, Resulting Numbers: [72, 22] Generated Node #3: [72, 22] from Operation: 42-20=22 Current State: 94:[72, 22], Operations: ['612=72', '42-20=22'] Exploring Operation: 72+22=94, Resulting Numbers: [94] 94,94 equal: Goal Reached	4	Current State: 94:[6, 42, 20, 12], Operations: [] Exploring Operation: 20-12=8, Resulting Numbers: [6, 42, 8] Generated Node #0,0: 94:[6, 42, 8] Operation: 20-12=8 Exploring Operation: 20+12=32, Resulting Numbers: [6, 42, 32] Generated Node #0,1: 94:[6, 42, 32] Operation: 20+12=32 Exploring Operation: 20-6=14, Resulting Numbers: [42, 12, 14] Generated Node #0,2: 94:[42, 12, 14] Operation: 20-6=14 Exploring Operation: 12/6=2, Resulting Numbers: [42, 20, 2] Generated Node #0,3: 94:[42, 20, 2] Operation: 12/6=2 Exploring Operation: 12-6=6, Resulting Numbers: [42, 20, 6] Generated Node #0,4: 94:[42, 20, 6] Operation: 12-6=6 Start Sub Search at level 1: Moving to Node #0,0 Current State: 94:[6, 42, 8], Operations: ['20-12=8'] Exploring Operation: 8-6=2, Resulting Numbers: [42, 2] Generated Node #0,0,0: 94:[42, 2] Operation: 8-6=2 Exploring Operation: 68=48, Resulting Numbers: [42, 48] Generated Node #0,0,1: 94:[42, 48] Operation: 68=48 Exploring Operation: 42+8=50, Resulting Numbers: [6, 50] Generated Node #0,0,2: 94:[6, 50] Operation: 42+8=50 Exploring Operation: 42/6=7, Resulting Numbers: [8, 7] Generated Node #0,0,3: 94:[8, 7] Operation: 42/6=7 Exploring Operation: 6+42=48, Resulting Numbers: [8, 48] Generated Node #0,0,4: 94:[8, 48] Operation: 6+42=48 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 94:[42, 2], Operations: ['20-12=8', '8-6=2'] Exploring Operation: 42+2=44, Resulting Numbers: [44] 44,94 unequal: No Solution Exploring Operation: 422=84, Resulting Numbers: [84] 84,94 unequal: No Solution Exploring Operation: 42-2=40, Resulting Numbers: [40] 40,94 unequal: No Solution Exploring Operation: 42/2=21, Resulting Numbers: [21] 21,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 94:[42, 48], Operations: ['20-12=8', '68=48'] Exploring Operation: 42+48=90, Resulting Numbers: [90] 90,94 unequal: No Solution Exploring Operation: 4248=2016, Resulting Numbers: [2016] 2016,94 unequal: No Solution Exploring Operation: 48-42=6, Resulting Numbers: [6] 6,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 94:[6, 50], Operations: ['20-12=8', '42+8=50'] Exploring Operation: 650=300, Resulting Numbers: [300] 300,94 unequal: No Solution Exploring Operation: 50-6=44, Resulting Numbers: [44] 44,94 unequal: No Solution Exploring Operation: 6+50=56, Resulting Numbers: [56] 56,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,4 Current State: 94:[8, 48], Operations: ['20-12=8', '6+42=48'] Exploring Operation: 48/8=6, Resulting Numbers: [6] 6,94 unequal: No Solution Exploring Operation: 48-8=40, Resulting Numbers: [40] 40,94 unequal: No Solution Exploring Operation: 848=384, Resulting Numbers: [384] 384,94 unequal: No Solution Exploring Operation: 8+48=56, Resulting Numbers: [56] 56,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 94:[8, 7], Operations: ['20-12=8', '42/6=7'] Exploring Operation: 8+7=15, Resulting Numbers: [15] 15,94 unequal: No Solution Exploring Operation: 87=56, Resulting Numbers: [56] 56,94 unequal: No Solution Exploring Operation: 8-7=1, Resulting Numbers: [1] 1,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 94:[42, 20, 2], Operations: ['12/6=2'] Exploring Operation: 42-20=22, Resulting Numbers: [2, 22] Generated Node #0,3,0: 94:[2, 22] Operation: 42-20=22 Exploring Operation: 42+20=62, Resulting Numbers: [2, 62] Generated Node #0,3,1: 94:[2, 62] Operation: 42+20=62 Exploring Operation: 20/2=10, Resulting Numbers: [42, 10] Generated Node #0,3,2: 94:[42, 10] Operation: 20/2=10 Exploring Operation: 42+2=44, Resulting Numbers: [20, 44] Generated Node #0,3,3: 94:[20, 44] Operation: 42+2=44 Exploring Operation: 202=40, Resulting Numbers: [42, 40] Generated Node #0,3,4: 94:[42, 40] Operation: 202=40 Start Sub Search at level 2: Moving to Node #0,3,4 Current State: 94:[42, 40], Operations: ['12/6=2', '202=40'] Exploring Operation: 42+40=82, Resulting Numbers: [82] 82,94 unequal: No Solution Exploring Operation: 4240=1680, Resulting Numbers: [1680] 1680,94 unequal: No Solution Exploring Operation: 42-40=2, Resulting Numbers: [2] 2,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 94:[42, 10], Operations: ['12/6=2', '20/2=10'] Exploring Operation: 4210=420, Resulting Numbers: [420] 420,94 unequal: No Solution Exploring Operation: 42+10=52, Resulting Numbers: [52] 52,94 unequal: No Solution Exploring Operation: 42-10=32, Resulting Numbers: [32] 32,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 94:[2, 62], Operations: ['12/6=2', '42+20=62'] Exploring Operation: 62/2=31, Resulting Numbers: [31] 31,94 unequal: No Solution Exploring Operation: 262=124, Resulting Numbers: [124] 124,94 unequal: No Solution Exploring Operation: 2+62=64, Resulting Numbers: [64] 64,94 unequal: No Solution Exploring Operation: 62-2=60, Resulting Numbers: [60] 60,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 94:[2, 22], Operations: ['12/6=2', '42-20=22'] Exploring Operation: 2+22=24, Resulting Numbers: [24] 24,94 unequal: No Solution Exploring Operation: 222=44, Resulting Numbers: [44] 44,94 unequal: No Solution Exploring Operation: 22/2=11, Resulting Numbers: [11] 11,94 unequal: No Solution Exploring Operation: 22-2=20, Resulting Numbers: [20] 20,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 94:[20, 44], Operations: ['12/6=2', '42+2=44'] Exploring Operation: 44-20=24, Resulting Numbers: [24] 24,94 unequal: No Solution Exploring Operation: 2044=880, Resulting Numbers: [880] 880,94 unequal: No Solution Exploring Operation: 20+44=64, Resulting Numbers: [64] 64,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 94:[6, 42, 32], Operations: ['20+12=32'] Exploring Operation: 42-32=10, Resulting Numbers: [6, 10] Generated Node #0,1,0: 94:[6, 10] Operation: 42-32=10 Exploring Operation: 42+32=74, Resulting Numbers: [6, 74] Generated Node #0,1,1: 94:[6, 74] Operation: 42+32=74 Exploring Operation: 6+32=38, Resulting Numbers: [42, 38] Generated Node #0,1,2: 94:[42, 38] Operation: 6+32=38 Exploring Operation: 42/6=7, Resulting Numbers: [32, 7] Generated Node #0,1,3: 94:[32, 7] Operation: 42/6=7 Exploring Operation: 6+42=48, Resulting Numbers: [32, 48] Generated Node #0,1,4: 94:[32, 48] Operation: 6+42=48 Moving to Node #0,1,0 Current State: 94:[6, 10], Operations: ['20+12=32', '42-32=10'] Exploring Operation: 6+10=16, Resulting Numbers: [16] 16,94 unequal: No Solution Exploring Operation: 10-6=4, Resulting Numbers: [4] 4,94 unequal: No Solution Exploring Operation: 610=60, Resulting Numbers: [60] 60,94 unequal: No Solution Moving to Node #0,1,2 Current State: 94:[42, 38], Operations: ['20+12=32', '6+32=38'] Exploring Operation: 42-38=4, Resulting Numbers: [4] 4,94 unequal: No Solution Exploring Operation: 42+38=80, Resulting Numbers: [80] 80,94 unequal: No Solution Exploring Operation: 4238=1596, Resulting Numbers: [1596] 1596,94 unequal: No Solution Moving to Node #0,1,4 Current State: 94:[32, 48], Operations: ['20+12=32', '6+42=48'] Exploring Operation: 48-32=16, Resulting Numbers: [16] 16,94 unequal: No Solution Exploring Operation: 3248=1536, Resulting Numbers: [1536] 1536,94 unequal: No Solution Exploring Operation: 32+48=80, Resulting Numbers: [80] 80,94 unequal: No Solution Moving to Node #0,1,3 Current State: 94:[32, 7], Operations: ['20+12=32', '42/6=7'] Exploring Operation: 327=224, Resulting Numbers: [224] 224,94 unequal: No Solution Exploring Operation: 32+7=39, Resulting Numbers: [39] 39,94 unequal: No Solution Exploring Operation: 32-7=25, Resulting Numbers: [25] 25,94 unequal: No Solution Moving to Node #0,1,1 Current State: 94:[6, 74], Operations: ['20+12=32', '42+32=74'] Exploring Operation: 6+74=80, Resulting Numbers: [80] 80,94 unequal: No Solution Exploring Operation: 674=444, Resulting Numbers: [444] 444,94 unequal: No Solution Exploring Operation: 74-6=68, Resulting Numbers: [68] 68,94 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 94:[42, 12, 14], Operations: ['20-6=14'] Exploring Operation: 42+12=54, Resulting Numbers: [14, 54] Generated Node #0,2,0: 94:[14, 54] Operation: 42+12=54 Exploring Operation: 42+14=56, Resulting Numbers: [12, 56] Generated Node #0,2,1: 94:[12, 56] Operation: 42+14=56 Exploring Operation: 14-12=2, Resulting Numbers: [42, 2] Generated Node #0,2,2: 94:[42, 2] Operation: 14-12=2 Exploring Operation: 42/14=3, Resulting Numbers: [12, 3] Generated Node #0,2,3: 94:[12, 3] Operation: 42/14=3 Exploring Operation: 12+14=26, Resulting Numbers: [42, 26] Generated Node #0,2,4: 94:[42, 26] Operation: 12+14=26 Moving to Node #0,2,2 Current State: 94:[42, 2], Operations: ['20-6=14', '14-12=2'] Exploring Operation: 42/2=21, Resulting Numbers: [21] 21,94 unequal: No Solution Exploring Operation: 42+2=44, Resulting Numbers: [44] 44,94 unequal: No Solution Exploring Operation: 42-2=40, Resulting Numbers: [40] 40,94 unequal: No Solution Exploring Operation: 422=84, Resulting Numbers: [84] 84,94 unequal: No Solution Moving to Node #0,2,3 Current State: 94:[12, 3], Operations: ['20-6=14', '42/14=3'] Exploring Operation: 12+3=15, Resulting Numbers: [15] 15,94 unequal: No Solution Exploring Operation: 123=36, Resulting Numbers: [36] 36,94 unequal: No Solution Exploring Operation: 12-3=9, Resulting Numbers: [9] 9,94 unequal: No Solution Exploring Operation: 12/3=4, Resulting Numbers: [4] 4,94 unequal: No Solution Moving to Node #0,2,0 Current State: 94:[14, 54], Operations: ['20-6=14', '42+12=54'] Exploring Operation: 54-14=40, Resulting Numbers: [40] 40,94 unequal: No Solution Exploring Operation: 1454=756, Resulting Numbers: [756] 756,94 unequal: No Solution Exploring Operation: 14+54=68, Resulting Numbers: [68] 68,94 unequal: No Solution Moving to Node #0,2,1 Current State: 94:[12, 56], Operations: ['20-6=14', '42+14=56'] Exploring Operation: 1256=672, Resulting Numbers: [672] 672,94 unequal: No Solution Exploring Operation: 12+56=68, Resulting Numbers: [68] 68,94 unequal: No Solution Exploring Operation: 56-12=44, Resulting Numbers: [44] 44,94 unequal: No Solution Moving to Node #0,2,4 Current State: 94:[42, 26], Operations: ['20-6=14', '12+14=26'] Exploring Operation: 42-26=16, Resulting Numbers: [16] 16,94 unequal: No Solution Exploring Operation: 42+26=68, Resulting Numbers: [68] 68,94 unequal: No Solution Exploring Operation: 4226=1092, Resulting Numbers: [1092] 1092,94 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 94:[42, 20, 6], Operations: ['12-6=6'] Exploring Operation: 42+20=62, Resulting Numbers: [6, 62] Generated Node #0,4,0: 94:[6, 62] Operation: 42+20=62 Exploring Operation: 42-20=22, Resulting Numbers: [6, 22] Generated Node #0,4,1: 94:[6, 22] Operation: 42-20=22 Exploring Operation: 42/6=7, Resulting Numbers: [20, 7] Generated Node #0,4,2: 94:[20, 7] Operation: 42/6=7 Exploring Operation: 42+6=48, Resulting Numbers: [20, 48] Generated Node #0,4,3: 94:[20, 48] Operation: 42+6=48 Exploring Operation: 20-6=14, Resulting Numbers: [42, 14] Generated Node #0,4,4: 94:[42, 14] Operation: 20-6=14 Start Sub Search at level 2: Moving to Node #0,4,4 Current State: 94:[42, 14], Operations: ['12-6=6', '20-6=14'] Exploring Operation: 4214=588, Resulting Numbers: [588] 588,94 unequal: No Solution Exploring Operation: 42-14=28, Resulting Numbers: [28] 28,94 unequal: No Solution Exploring Operation: 42+14=56, Resulting Numbers: [56] 56,94 unequal: No Solution Exploring Operation: 42/14=3, Resulting Numbers: [3] 3,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,0 Current State: 94:[6, 62], Operations: ['12-6=6', '42+20=62'] Exploring Operation: 662=372, Resulting Numbers: [372] 372,94 unequal: No Solution Exploring Operation: 6+62=68, Resulting Numbers: [68] 68,94 unequal: No Solution Exploring Operation: 62-6=56, Resulting Numbers: [56] 56,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,3 Current State: 94:[20, 48], Operations: ['12-6=6', '42+6=48'] Exploring Operation: 20+48=68, Resulting Numbers: [68] 68,94 unequal: No Solution Exploring Operation: 2048=960, Resulting Numbers: [960] 960,94 unequal: No Solution Exploring Operation: 48-20=28, Resulting Numbers: [28] 28,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,2 Current State: 94:[20, 7], Operations: ['12-6=6', '42/6=7'] Exploring Operation: 20-7=13, Resulting Numbers: [13] 13,94 unequal: No Solution Exploring Operation: 207=140, Resulting Numbers: [140] 140,94 unequal: No Solution Exploring Operation: 20+7=27, Resulting Numbers: [27] 27,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,1 Current State: 94:[6, 22], Operations: ['12-6=6', '42-20=22'] Exploring Operation: 22-6=16, Resulting Numbers: [16] 16,94 unequal: No Solution Exploring Operation: 6+22=28, Resulting Numbers: [28] 28,94 unequal: No Solution Exploring Operation: 6*22=132, Resulting Numbers: [132] 132,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_5	mult_heuristic
[ 10, 36, 13, 52 ]	13	[ "36-10=26", "52-13=39", "39-26=13" ]	Current State: 13:[10, 36, 13, 52], Operations: [] Exploring Operation: 36-10=26, Resulting Numbers: [13, 52, 26] Generated Node #2: [13, 52, 26] from Operation: 36-10=26 Current State: 13:[13, 52, 26], Operations: ['36-10=26'] Exploring Operation: 52-13=39, Resulting Numbers: [26, 39] Generated Node #3: [26, 39] from Operation: 52-13=39 Current State: 13:[26, 39], Operations: ['36-10=26', '52-13=39'] Exploring Operation: 39-26=13, Resulting Numbers: [13] 13,13 equal: Goal Reached	4	Current State: 13:[10, 36, 13, 52], Operations: [] Exploring Operation: 52-36=16, Resulting Numbers: [10, 13, 16] Generated Node #0,0: 13:[10, 13, 16] Operation: 52-36=16 Start Sub Search at level 1: Moving to Node #0,0 Current State: 13:[10, 13, 16], Operations: ['52-36=16'] Exploring Operation: 16-10=6, Resulting Numbers: [13, 6] Generated Node #0,0,0: 13:[13, 6] Operation: 16-10=6 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 13:[13, 6], Operations: ['52-36=16', '16-10=6'] Exploring Operation: 13+6=19, Resulting Numbers: [19] 19,13 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	sum_heuristic
[ 21, 13, 26, 75 ]	93	[ "21-13=8", "26+75=101", "101-8=93" ]	Current State: 93:[21, 13, 26, 75], Operations: [] Exploring Operation: 21-13=8, Resulting Numbers: [26, 75, 8] Generated Node #2: [26, 75, 8] from Operation: 21-13=8 Current State: 93:[26, 75, 8], Operations: ['21-13=8'] Exploring Operation: 26+75=101, Resulting Numbers: [8, 101] Generated Node #3: [8, 101] from Operation: 26+75=101 Current State: 93:[8, 101], Operations: ['21-13=8', '26+75=101'] Exploring Operation: 101-8=93, Resulting Numbers: [93] 93,93 equal: Goal Reached	4	Current State: 93:[21, 13, 26, 75], Operations: [] Exploring Operation: 21+13=34, Resulting Numbers: [26, 75, 34] Generated Node #0,0: 93:[26, 75, 34] Operation: 21+13=34 Exploring Operation: 21+75=96, Resulting Numbers: [13, 26, 96] Generated Node #0,1: 93:[13, 26, 96] Operation: 21+75=96 Exploring Operation: 13+75=88, Resulting Numbers: [21, 26, 88] Generated Node #0,2: 93:[21, 26, 88] Operation: 13+75=88 Start Sub Search at level 1: Moving to Node #0,1 Current State: 93:[13, 26, 96], Operations: ['21+75=96'] Exploring Operation: 13+26=39, Resulting Numbers: [96, 39] Generated Node #0,1,0: 93:[96, 39] Operation: 13+26=39 Exploring Operation: 26/13=2, Resulting Numbers: [96, 2] Generated Node #0,1,1: 93:[96, 2] Operation: 26/13=2 Exploring Operation: 26-13=13, Resulting Numbers: [96, 13] Generated Node #0,1,2: 93:[96, 13] Operation: 26-13=13 Moving to Node #0,1,1 Current State: 93:[96, 2], Operations: ['21+75=96', '26/13=2'] Exploring Operation: 96-2=94, Resulting Numbers: [94] 94,93 unequal: No Solution Exploring Operation: 96+2=98, Resulting Numbers: [98] 98,93 unequal: No Solution Exploring Operation: 96/2=48, Resulting Numbers: [48] 48,93 unequal: No Solution Moving to Node #0,1,0 Current State: 93:[96, 39], Operations: ['21+75=96', '13+26=39'] Exploring Operation: 96+39=135, Resulting Numbers: [135] 135,93 unequal: No Solution Exploring Operation: 9639=3744, Resulting Numbers: [3744] 3744,93 unequal: No Solution Exploring Operation: 96-39=57, Resulting Numbers: [57] 57,93 unequal: No Solution Moving to Node #0,1,2 Current State: 93:[96, 13], Operations: ['21+75=96', '26-13=13'] Exploring Operation: 96-13=83, Resulting Numbers: [83] 83,93 unequal: No Solution Exploring Operation: 9613=1248, Resulting Numbers: [1248] 1248,93 unequal: No Solution Exploring Operation: 96+13=109, Resulting Numbers: [109] 109,93 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 93:[21, 26, 88], Operations: ['13+75=88'] Exploring Operation: 26-21=5, Resulting Numbers: [88, 5] Generated Node #0,2,0: 93:[88, 5] Operation: 26-21=5 Exploring Operation: 21+88=109, Resulting Numbers: [26, 109] Generated Node #0,2,1: 93:[26, 109] Operation: 21+88=109 Exploring Operation: 21+26=47, Resulting Numbers: [88, 47] Generated Node #0,2,2: 93:[88, 47] Operation: 21+26=47 Moving to Node #0,2,0 Current State: 93:[88, 5], Operations: ['13+75=88', '26-21=5'] Exploring Operation: 88+5=93, Resulting Numbers: [93] 93,93 equal: Goal Reached Moving to Node #0 Current State: 93:[21, 13, 26, 75], Operations: [] Exploring Operation: 13+75=88, Resulting Numbers: [21, 26, 88] Generated Node #0,2: 93:[21, 26, 88] Operation: 13+75=88 Moving to Node #0,2 Current State: 93:[21, 26, 88], Operations: ['13+75=88'] Exploring Operation: 26-21=5, Resulting Numbers: [88, 5] Generated Node #0,2,0: 93:[88, 5] Operation: 26-21=5 Moving to Node #0,2,0 Current State: 93:[88, 5], Operations: ['13+75=88', '26-21=5'] Exploring Operation: 88+5=93, Resulting Numbers: [93] 93,93 equal: Goal Reached Exit Sub Search at level 1	0.980035	hs_3	sum_heuristic
[ 33, 79, 80, 1 ]	32	[ "33+79=112", "80*1=80", "112-80=32" ]	Current State: 32:[33, 79, 80, 1], Operations: [] Exploring Operation: 33+79=112, Resulting Numbers: [80, 1, 112] Generated Node #2: [80, 1, 112] from Operation: 33+79=112 Current State: 32:[80, 1, 112], Operations: ['33+79=112'] Exploring Operation: 801=80, Resulting Numbers: [112, 80] Generated Node #3: [112, 80] from Operation: 801=80 Current State: 32:[112, 80], Operations: ['33+79=112', '80*1=80'] Exploring Operation: 112-80=32, Resulting Numbers: [32] 32,32 equal: Goal Reached	4	Current State: 32:[33, 79, 80, 1], Operations: [] Exploring Operation: 79-1=78, Resulting Numbers: [33, 80, 78] Generated Node #0,0: 32:[33, 80, 78] Operation: 79-1=78 Exploring Operation: 79-33=46, Resulting Numbers: [80, 1, 46] Generated Node #0,1: 32:[80, 1, 46] Operation: 79-33=46 Exploring Operation: 80-79=1, Resulting Numbers: [33, 1, 1] Generated Node #0,2: 32:[33, 1, 1] Operation: 80-79=1 Exploring Operation: 33-1=32, Resulting Numbers: [79, 80, 32] Generated Node #0,3: 32:[79, 80, 32] Operation: 33-1=32 Exploring Operation: 80-33=47, Resulting Numbers: [79, 1, 47] Generated Node #0,4: 32:[79, 1, 47] Operation: 80-33=47 Moving to Node #0,2 Current State: 32:[33, 1, 1], Operations: ['80-79=1'] Exploring Operation: 33-1=32, Resulting Numbers: [1, 32] Generated Node #0,2,0: 32:[1, 32] Operation: 33-1=32 Exploring Operation: 33/1=33, Resulting Numbers: [1, 33] Generated Node #0,2,1: 32:[1, 33] Operation: 33/1=33 Exploring Operation: 331=33, Resulting Numbers: [1, 33] Generated Node #0,2,2: 32:[1, 33] Operation: 331=33 Exploring Operation: 1+1=2, Resulting Numbers: [33, 2] Generated Node #0,2,3: 32:[33, 2] Operation: 1+1=2 Exploring Operation: 33-1=32, Resulting Numbers: [1, 32] Generated Node #0,2,4: 32:[1, 32] Operation: 33-1=32 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 32:[1, 32], Operations: ['80-79=1', '33-1=32'] Exploring Operation: 32-1=31, Resulting Numbers: [31] 31,32 unequal: No Solution Exploring Operation: 132=32, Resulting Numbers: [32] 32,32 equal: Goal Reached Moving to Node #0 Current State: 32:[33, 79, 80, 1], Operations: [] Exploring Operation: 80-79=1, Resulting Numbers: [33, 1, 1] Generated Node #0,2: 32:[33, 1, 1] Operation: 80-79=1 Moving to Node #0,2 Current State: 32:[33, 1, 1], Operations: ['80-79=1'] Exploring Operation: 33-1=32, Resulting Numbers: [1, 32] Generated Node #0,2,0: 32:[1, 32] Operation: 33-1=32 Moving to Node #0,2,0 Current State: 32:[1, 32], Operations: ['80-79=1', '33-1=32'] Exploring Operation: 132=32, Resulting Numbers: [32] 32,32 equal: Goal Reached Exit Sub Search at level 1	0.986111	hs_5	sum_heuristic
[ 23, 67, 61, 51 ]	22	[ "23+67=90", "61+51=112", "112-90=22" ]	Current State: 22:[23, 67, 61, 51], Operations: [] Exploring Operation: 23+67=90, Resulting Numbers: [61, 51, 90] Generated Node #2: [61, 51, 90] from Operation: 23+67=90 Current State: 22:[61, 51, 90], Operations: ['23+67=90'] Exploring Operation: 61+51=112, Resulting Numbers: [90, 112] Generated Node #3: [90, 112] from Operation: 61+51=112 Current State: 22:[90, 112], Operations: ['23+67=90', '61+51=112'] Exploring Operation: 112-90=22, Resulting Numbers: [22] 22,22 equal: Goal Reached	4	Current State: 22:[23, 67, 61, 51], Operations: [] Exploring Operation: 67-61=6, Resulting Numbers: [23, 51, 6] Generated Node #0,0: 22:[23, 51, 6] Operation: 67-61=6 Exploring Operation: 67-51=16, Resulting Numbers: [23, 61, 16] Generated Node #0,1: 22:[23, 61, 16] Operation: 67-51=16 Exploring Operation: 61-51=10, Resulting Numbers: [23, 67, 10] Generated Node #0,2: 22:[23, 67, 10] Operation: 61-51=10 Start Sub Search at level 1: Moving to Node #0,0 Current State: 22:[23, 51, 6], Operations: ['67-61=6'] Exploring Operation: 23-6=17, Resulting Numbers: [51, 17] Generated Node #0,0,0: 22:[51, 17] Operation: 23-6=17 Exploring Operation: 51-6=45, Resulting Numbers: [23, 45] Generated Node #0,0,1: 22:[23, 45] Operation: 51-6=45 Exploring Operation: 51-23=28, Resulting Numbers: [6, 28] Generated Node #0,0,2: 22:[6, 28] Operation: 51-23=28 Moving to Node #0,0,2 Current State: 22:[6, 28], Operations: ['67-61=6', '51-23=28'] Exploring Operation: 6+28=34, Resulting Numbers: [34] 34,22 unequal: No Solution Exploring Operation: 28-6=22, Resulting Numbers: [22] 22,22 equal: Goal Reached Moving to Node #0 Current State: 22:[23, 67, 61, 51], Operations: [] Exploring Operation: 67-61=6, Resulting Numbers: [23, 51, 6] Generated Node #0,0: 22:[23, 51, 6] Operation: 67-61=6 Moving to Node #0,0 Current State: 22:[23, 51, 6], Operations: ['67-61=6'] Exploring Operation: 51-23=28, Resulting Numbers: [6, 28] Generated Node #0,0,2: 22:[6, 28] Operation: 51-23=28 Moving to Node #0,0,2 Current State: 22:[6, 28], Operations: ['67-61=6', '51-23=28'] Exploring Operation: 28-6=22, Resulting Numbers: [22] 22,22 equal: Goal Reached Exit Sub Search at level 1	0.989583	hs_3	sum_heuristic
[ 29, 75, 56, 99 ]	51	[ "29+75=104", "56+99=155", "155-104=51" ]	Current State: 51:[29, 75, 56, 99], Operations: [] Exploring Operation: 29+75=104, Resulting Numbers: [56, 99, 104] Generated Node #2: [56, 99, 104] from Operation: 29+75=104 Current State: 51:[56, 99, 104], Operations: ['29+75=104'] Exploring Operation: 56+99=155, Resulting Numbers: [104, 155] Generated Node #3: [104, 155] from Operation: 56+99=155 Current State: 51:[104, 155], Operations: ['29+75=104', '56+99=155'] Exploring Operation: 155-104=51, Resulting Numbers: [51] 51,51 equal: Goal Reached	4	Current State: 51:[29, 75, 56, 99], Operations: [] Exploring Operation: 99-56=43, Resulting Numbers: [29, 75, 43] Generated Node #0,0: 51:[29, 75, 43] Operation: 99-56=43 Exploring Operation: 99-75=24, Resulting Numbers: [29, 56, 24] Generated Node #0,1: 51:[29, 56, 24] Operation: 99-75=24 Exploring Operation: 99-29=70, Resulting Numbers: [75, 56, 70] Generated Node #0,2: 51:[75, 56, 70] Operation: 99-29=70 Exploring Operation: 75-29=46, Resulting Numbers: [56, 99, 46] Generated Node #0,3: 51:[56, 99, 46] Operation: 75-29=46 Moving to Node #0,1 Current State: 51:[29, 56, 24], Operations: ['99-75=24'] Exploring Operation: 29-24=5, Resulting Numbers: [56, 5] Generated Node #0,1,0: 51:[56, 5] Operation: 29-24=5 Exploring Operation: 29+24=53, Resulting Numbers: [56, 53] Generated Node #0,1,1: 51:[56, 53] Operation: 29+24=53 Exploring Operation: 56-24=32, Resulting Numbers: [29, 32] Generated Node #0,1,2: 51:[29, 32] Operation: 56-24=32 Exploring Operation: 56-29=27, Resulting Numbers: [24, 27] Generated Node #0,1,3: 51:[24, 27] Operation: 56-29=27 Moving to Node #0,0 Current State: 51:[29, 75, 43], Operations: ['99-56=43'] Exploring Operation: 43-29=14, Resulting Numbers: [75, 14] Generated Node #0,0,0: 51:[75, 14] Operation: 43-29=14 Exploring Operation: 75-43=32, Resulting Numbers: [29, 32] Generated Node #0,0,1: 51:[29, 32] Operation: 75-43=32 Exploring Operation: 75-29=46, Resulting Numbers: [43, 46] Generated Node #0,0,2: 51:[43, 46] Operation: 75-29=46 Exploring Operation: 29+43=72, Resulting Numbers: [75, 72] Generated Node #0,0,3: 51:[75, 72] Operation: 29+43=72 Moving to Node #0,2 Current State: 51:[75, 56, 70], Operations: ['99-29=70'] Exploring Operation: 75-56=19, Resulting Numbers: [70, 19] Generated Node #0,2,0: 51:[70, 19] Operation: 75-56=19 Exploring Operation: 70-56=14, Resulting Numbers: [75, 14] Generated Node #0,2,1: 51:[75, 14] Operation: 70-56=14 Exploring Operation: 75-70=5, Resulting Numbers: [56, 5] Generated Node #0,2,2: 51:[56, 5] Operation: 75-70=5 Exploring Operation: 75+56=131, Resulting Numbers: [70, 131] Generated Node #0,2,3: 51:[70, 131] Operation: 75+56=131 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 51:[56, 5], Operations: ['99-29=70', '75-70=5'] Exploring Operation: 56-5=51, Resulting Numbers: [51] 51,51 equal: Goal Reached Moving to Node #0 Current State: 51:[29, 75, 56, 99], Operations: [] Exploring Operation: 99-29=70, Resulting Numbers: [75, 56, 70] Generated Node #0,2: 51:[75, 56, 70] Operation: 99-29=70 Moving to Node #0,2 Current State: 51:[75, 56, 70], Operations: ['99-29=70'] Exploring Operation: 75-70=5, Resulting Numbers: [56, 5] Generated Node #0,2,2: 51:[56, 5] Operation: 75-70=5 Moving to Node #0,2,2 Current State: 51:[56, 5], Operations: ['99-29=70', '75-70=5'] Exploring Operation: 56-5=51, Resulting Numbers: [51] 51,51 equal: Goal Reached Exit Sub Search at level 1	0.981771	hs_4	sum_heuristic
[ 37, 69, 76, 19 ]	89	[ "69-37=32", "76-19=57", "32+57=89" ]	Current State: 89:[37, 69, 76, 19], Operations: [] Exploring Operation: 69-37=32, Resulting Numbers: [76, 19, 32] Generated Node #2: [76, 19, 32] from Operation: 69-37=32 Current State: 89:[76, 19, 32], Operations: ['69-37=32'] Exploring Operation: 76-19=57, Resulting Numbers: [32, 57] Generated Node #3: [32, 57] from Operation: 76-19=57 Current State: 89:[32, 57], Operations: ['69-37=32', '76-19=57'] Exploring Operation: 32+57=89, Resulting Numbers: [89] 89,89 equal: Goal Reached	4	Current State: 89:[37, 69, 76, 19], Operations: [] Exploring Operation: 37+19=56, Resulting Numbers: [69, 76, 56] Generated Node #0,0: 89:[69, 76, 56] Operation: 37+19=56 Exploring Operation: 69+19=88, Resulting Numbers: [37, 76, 88] Generated Node #0,1: 89:[37, 76, 88] Operation: 69+19=88 Exploring Operation: 76+19=95, Resulting Numbers: [37, 69, 95] Generated Node #0,2: 89:[37, 69, 95] Operation: 76+19=95 Moving to Node #0,0 Current State: 89:[69, 76, 56], Operations: ['37+19=56'] Exploring Operation: 76+56=132, Resulting Numbers: [69, 132] Generated Node #0,0,0: 89:[69, 132] Operation: 76+56=132 Exploring Operation: 69+76=145, Resulting Numbers: [56, 145] Generated Node #0,0,1: 89:[56, 145] Operation: 69+76=145 Exploring Operation: 69+56=125, Resulting Numbers: [76, 125] Generated Node #0,0,2: 89:[76, 125] Operation: 69+56=125 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 89:[76, 125], Operations: ['37+19=56', '69+56=125'] Exploring Operation: 125-76=49, Resulting Numbers: [49] 49,89 unequal: No Solution Exploring Operation: 76125=9500, Resulting Numbers: [9500] 9500,89 unequal: No Solution Exploring Operation: 76+125=201, Resulting Numbers: [201] 201,89 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 89:[69, 132], Operations: ['37+19=56', '76+56=132'] Exploring Operation: 69+132=201, Resulting Numbers: [201] 201,89 unequal: No Solution Exploring Operation: 132-69=63, Resulting Numbers: [63] 63,89 unequal: No Solution Exploring Operation: 69132=9108, Resulting Numbers: [9108] 9108,89 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 89:[56, 145], Operations: ['37+19=56', '69+76=145'] Exploring Operation: 145-56=89, Resulting Numbers: [89] 89,89 equal: Goal Reached Moving to Node #0 Current State: 89:[37, 69, 76, 19], Operations: [] Exploring Operation: 37+19=56, Resulting Numbers: [69, 76, 56] Generated Node #0,0: 89:[69, 76, 56] Operation: 37+19=56 Moving to Node #0,0 Current State: 89:[69, 76, 56], Operations: ['37+19=56'] Exploring Operation: 69+76=145, Resulting Numbers: [56, 145] Generated Node #0,0,1: 89:[56, 145] Operation: 69+76=145 Moving to Node #0,0,1 Current State: 89:[56, 145], Operations: ['37+19=56', '69+76=145'] Exploring Operation: 145-56=89, Resulting Numbers: [89] 89,89 equal: Goal Reached Exit Sub Search at level 1	0.985243	hs_3	sum_heuristic
[ 20, 71, 57, 16 ]	18	[ "20+71=91", "57+16=73", "91-73=18" ]	Current State: 18:[20, 71, 57, 16], Operations: [] Exploring Operation: 20+71=91, Resulting Numbers: [57, 16, 91] Generated Node #2: [57, 16, 91] from Operation: 20+71=91 Current State: 18:[57, 16, 91], Operations: ['20+71=91'] Exploring Operation: 57+16=73, Resulting Numbers: [91, 73] Generated Node #3: [91, 73] from Operation: 57+16=73 Current State: 18:[91, 73], Operations: ['20+71=91', '57+16=73'] Exploring Operation: 91-73=18, Resulting Numbers: [18] 18,18 equal: Goal Reached	4	Current State: 18:[20, 71, 57, 16], Operations: [] Exploring Operation: 57-20=37, Resulting Numbers: [71, 16, 37] Generated Node #0,0: 18:[71, 16, 37] Operation: 57-20=37 Exploring Operation: 71-16=55, Resulting Numbers: [20, 57, 55] Generated Node #0,1: 18:[20, 57, 55] Operation: 71-16=55 Exploring Operation: 71-57=14, Resulting Numbers: [20, 16, 14] Generated Node #0,2: 18:[20, 16, 14] Operation: 71-57=14 Exploring Operation: 71-20=51, Resulting Numbers: [57, 16, 51] Generated Node #0,3: 18:[57, 16, 51] Operation: 71-20=51 Moving to Node #0,2 Current State: 18:[20, 16, 14], Operations: ['71-57=14'] Exploring Operation: 20-16=4, Resulting Numbers: [14, 4] Generated Node #0,2,0: 18:[14, 4] Operation: 20-16=4 Exploring Operation: 16-14=2, Resulting Numbers: [20, 2] Generated Node #0,2,1: 18:[20, 2] Operation: 16-14=2 Exploring Operation: 16+14=30, Resulting Numbers: [20, 30] Generated Node #0,2,2: 18:[20, 30] Operation: 16+14=30 Exploring Operation: 20-14=6, Resulting Numbers: [16, 6] Generated Node #0,2,3: 18:[16, 6] Operation: 20-14=6 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 18:[20, 2], Operations: ['71-57=14', '16-14=2'] Exploring Operation: 20-2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached Moving to Node #0 Current State: 18:[20, 71, 57, 16], Operations: [] Exploring Operation: 71-57=14, Resulting Numbers: [20, 16, 14] Generated Node #0,2: 18:[20, 16, 14] Operation: 71-57=14 Moving to Node #0,2 Current State: 18:[20, 16, 14], Operations: ['71-57=14'] Exploring Operation: 16-14=2, Resulting Numbers: [20, 2] Generated Node #0,2,1: 18:[20, 2] Operation: 16-14=2 Moving to Node #0,2,1 Current State: 18:[20, 2], Operations: ['71-57=14', '16-14=2'] Exploring Operation: 20-2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached Exit Sub Search at level 1	0.988715	hs_4	sum_heuristic
[ 13, 32, 56, 6 ]	52	[ "56-32=24", "13*24=312", "312/6=52" ]	Current State: 52:[13, 32, 56, 6], Operations: [] Exploring Operation: 56-32=24, Resulting Numbers: [13, 6, 24] Generated Node #2: [13, 6, 24] from Operation: 56-32=24 Current State: 52:[13, 6, 24], Operations: ['56-32=24'] Exploring Operation: 1324=312, Resulting Numbers: [6, 312] Generated Node #3: [6, 312] from Operation: 1324=312 Current State: 52:[6, 312], Operations: ['56-32=24', '13*24=312'] Exploring Operation: 312/6=52, Resulting Numbers: [52] 52,52 equal: Goal Reached	4	Current State: 52:[13, 32, 56, 6], Operations: [] Exploring Operation: 56-32=24, Resulting Numbers: [13, 6, 24] Generated Node #0,0: 52:[13, 6, 24] Operation: 56-32=24 Start Sub Search at level 1: Moving to Node #0,0 Current State: 52:[13, 6, 24], Operations: ['56-32=24'] Exploring Operation: 24/6=4, Resulting Numbers: [13, 4] Generated Node #0,0,0: 52:[13, 4] Operation: 24/6=4 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 52:[13, 4], Operations: ['56-32=24', '24/6=4'] Exploring Operation: 134=52, Resulting Numbers: [52] 52,52 equal: Goal Reached Moving to Node #0 Current State: 52:[13, 32, 56, 6], Operations: [] Exploring Operation: 56-32=24, Resulting Numbers: [13, 6, 24] Generated Node #0,0: 52:[13, 6, 24] Operation: 56-32=24 Moving to Node #0,0 Current State: 52:[13, 6, 24], Operations: ['56-32=24'] Exploring Operation: 24/6=4, Resulting Numbers: [13, 4] Generated Node #0,0,0: 52:[13, 4] Operation: 24/6=4 Moving to Node #0,0,0 Current State: 52:[13, 4], Operations: ['56-32=24', '24/6=4'] Exploring Operation: 134=52, Resulting Numbers: [52] 52,52 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.993924	hs_1	sum_heuristic
[ 59, 39, 97, 56 ]	20	[ "59-56=3", "39*3=117", "117-97=20" ]	Current State: 20:[59, 39, 97, 56], Operations: [] Exploring Operation: 59-56=3, Resulting Numbers: [39, 97, 3] Generated Node #2: [39, 97, 3] from Operation: 59-56=3 Current State: 20:[39, 97, 3], Operations: ['59-56=3'] Exploring Operation: 393=117, Resulting Numbers: [97, 117] Generated Node #3: [97, 117] from Operation: 393=117 Current State: 20:[97, 117], Operations: ['59-56=3', '39*3=117'] Exploring Operation: 117-97=20, Resulting Numbers: [20] 20,20 equal: Goal Reached	4	Current State: 20:[59, 39, 97, 56], Operations: [] Exploring Operation: 97-59=38, Resulting Numbers: [39, 56, 38] Generated Node #0,0: 20:[39, 56, 38] Operation: 97-59=38 Exploring Operation: 97-56=41, Resulting Numbers: [59, 39, 41] Generated Node #0,1: 20:[59, 39, 41] Operation: 97-56=41 Start Sub Search at level 1: Moving to Node #0,0 Current State: 20:[39, 56, 38], Operations: ['97-59=38'] Exploring Operation: 56-38=18, Resulting Numbers: [39, 18] Generated Node #0,0,0: 20:[39, 18] Operation: 56-38=18 Exploring Operation: 56-39=17, Resulting Numbers: [38, 17] Generated Node #0,0,1: 20:[38, 17] Operation: 56-39=17 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 20:[39, 18], Operations: ['97-59=38', '56-38=18'] Exploring Operation: 39+18=57, Resulting Numbers: [57] 57,20 unequal: No Solution Exploring Operation: 39-18=21, Resulting Numbers: [21] 21,20 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 20:[38, 17], Operations: ['97-59=38', '56-39=17'] Exploring Operation: 38-17=21, Resulting Numbers: [21] 21,20 unequal: No Solution Exploring Operation: 38+17=55, Resulting Numbers: [55] 55,20 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 20:[59, 39, 41], Operations: ['97-56=41'] Exploring Operation: 59-39=20, Resulting Numbers: [41, 20] Generated Node #0,1,0: 20:[41, 20] Operation: 59-39=20 Exploring Operation: 59-41=18, Resulting Numbers: [39, 18] Generated Node #0,1,1: 20:[39, 18] Operation: 59-41=18 Moving to Node #0,1,0 Current State: 20:[41, 20], Operations: ['97-56=41', '59-39=20'] Exploring Operation: 41-20=21, Resulting Numbers: [21] 21,20 unequal: No Solution Exploring Operation: 41+20=61, Resulting Numbers: [61] 61,20 unequal: No Solution Moving to Node #0,1,1 Current State: 20:[39, 18], Operations: ['97-56=41', '59-41=18'] Exploring Operation: 39-18=21, Resulting Numbers: [21] 21,20 unequal: No Solution Exploring Operation: 39+18=57, Resulting Numbers: [57] 57,20 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_2	sum_heuristic
[ 50, 3, 17, 90 ]	79	[ "50-17=33", "33/3=11", "90-11=79" ]	Current State: 79:[50, 3, 17, 90], Operations: [] Exploring Operation: 50-17=33, Resulting Numbers: [3, 90, 33] Generated Node #2: [3, 90, 33] from Operation: 50-17=33 Current State: 79:[3, 90, 33], Operations: ['50-17=33'] Exploring Operation: 33/3=11, Resulting Numbers: [90, 11] Generated Node #3: [90, 11] from Operation: 33/3=11 Current State: 79:[90, 11], Operations: ['50-17=33', '33/3=11'] Exploring Operation: 90-11=79, Resulting Numbers: [79] 79,79 equal: Goal Reached	4	Current State: 79:[50, 3, 17, 90], Operations: [] Exploring Operation: 317=51, Resulting Numbers: [50, 90, 51] Generated Node #0,0: 79:[50, 90, 51] Operation: 317=51 Start Sub Search at level 1: Moving to Node #0,0 Current State: 79:[50, 90, 51], Operations: ['317=51'] Exploring Operation: 50+51=101, Resulting Numbers: [90, 101] Generated Node #0,0,0: 79:[90, 101] Operation: 50+51=101 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 79:[90, 101], Operations: ['317=51', '50+51=101'] Exploring Operation: 101-90=11, Resulting Numbers: [11] 11,79 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	mult_heuristic
[ 38, 94, 88, 49 ]	95	[ "94-38=56", "88-49=39", "56+39=95" ]	Current State: 95:[38, 94, 88, 49], Operations: [] Exploring Operation: 94-38=56, Resulting Numbers: [88, 49, 56] Generated Node #2: [88, 49, 56] from Operation: 94-38=56 Current State: 95:[88, 49, 56], Operations: ['94-38=56'] Exploring Operation: 88-49=39, Resulting Numbers: [56, 39] Generated Node #3: [56, 39] from Operation: 88-49=39 Current State: 95:[56, 39], Operations: ['94-38=56', '88-49=39'] Exploring Operation: 56+39=95, Resulting Numbers: [95] 95,95 equal: Goal Reached	4	Current State: 95:[38, 94, 88, 49], Operations: [] Exploring Operation: 38+49=87, Resulting Numbers: [94, 88, 87] Generated Node #0,0: 95:[94, 88, 87] Operation: 38+49=87 Exploring Operation: 49-38=11, Resulting Numbers: [94, 88, 11] Generated Node #0,1: 95:[94, 88, 11] Operation: 49-38=11 Moving to Node #0,1 Current State: 95:[94, 88, 11], Operations: ['49-38=11'] Exploring Operation: 88+11=99, Resulting Numbers: [94, 99] Generated Node #0,1,0: 95:[94, 99] Operation: 88+11=99 Exploring Operation: 88/11=8, Resulting Numbers: [94, 8] Generated Node #0,1,1: 95:[94, 8] Operation: 88/11=8 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 95:[94, 8], Operations: ['49-38=11', '88/11=8'] Exploring Operation: 94+8=102, Resulting Numbers: [102] 102,95 unequal: No Solution Exploring Operation: 94-8=86, Resulting Numbers: [86] 86,95 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 95:[94, 99], Operations: ['49-38=11', '88+11=99'] Exploring Operation: 94+99=193, Resulting Numbers: [193] 193,95 unequal: No Solution Exploring Operation: 99-94=5, Resulting Numbers: [5] 5,95 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 95:[94, 88, 87], Operations: ['38+49=87'] Exploring Operation: 94-88=6, Resulting Numbers: [87, 6] Generated Node #0,0,0: 95:[87, 6] Operation: 94-88=6 Exploring Operation: 88-87=1, Resulting Numbers: [94, 1] Generated Node #0,0,1: 95:[94, 1] Operation: 88-87=1 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 95:[94, 1], Operations: ['38+49=87', '88-87=1'] Exploring Operation: 94*1=94, Resulting Numbers: [94] 94,95 unequal: No Solution Exploring Operation: 94+1=95, Resulting Numbers: [95] 95,95 equal: Goal Reached Moving to Node #0 Current State: 95:[38, 94, 88, 49], Operations: [] Exploring Operation: 38+49=87, Resulting Numbers: [94, 88, 87] Generated Node #0,0: 95:[94, 88, 87] Operation: 38+49=87 Moving to Node #0,0 Current State: 95:[94, 88, 87], Operations: ['38+49=87'] Exploring Operation: 88-87=1, Resulting Numbers: [94, 1] Generated Node #0,0,1: 95:[94, 1] Operation: 88-87=1 Moving to Node #0,0,1 Current State: 95:[94, 1], Operations: ['38+49=87', '88-87=1'] Exploring Operation: 94+1=95, Resulting Numbers: [95] 95,95 equal: Goal Reached Exit Sub Search at level 1	0.986111	hs_2	mult_heuristic
[ 27, 10, 71, 66 ]	23	[ "71-66=5", "10*5=50", "50-27=23" ]	Current State: 23:[27, 10, 71, 66], Operations: [] Exploring Operation: 71-66=5, Resulting Numbers: [27, 10, 5] Generated Node #2: [27, 10, 5] from Operation: 71-66=5 Current State: 23:[27, 10, 5], Operations: ['71-66=5'] Exploring Operation: 105=50, Resulting Numbers: [27, 50] Generated Node #3: [27, 50] from Operation: 105=50 Current State: 23:[27, 50], Operations: ['71-66=5', '10*5=50'] Exploring Operation: 50-27=23, Resulting Numbers: [23] 23,23 equal: Goal Reached	4	Current State: 23:[27, 10, 71, 66], Operations: [] Exploring Operation: 66-27=39, Resulting Numbers: [10, 71, 39] Generated Node #0,0: 23:[10, 71, 39] Operation: 66-27=39 Exploring Operation: 71-27=44, Resulting Numbers: [10, 66, 44] Generated Node #0,1: 23:[10, 66, 44] Operation: 71-27=44 Exploring Operation: 71-10=61, Resulting Numbers: [27, 66, 61] Generated Node #0,2: 23:[27, 66, 61] Operation: 71-10=61 Exploring Operation: 71-66=5, Resulting Numbers: [27, 10, 5] Generated Node #0,3: 23:[27, 10, 5] Operation: 71-66=5 Moving to Node #0,3 Current State: 23:[27, 10, 5], Operations: ['71-66=5'] Exploring Operation: 10-5=5, Resulting Numbers: [27, 5] Generated Node #0,3,0: 23:[27, 5] Operation: 10-5=5 Exploring Operation: 10+5=15, Resulting Numbers: [27, 15] Generated Node #0,3,1: 23:[27, 15] Operation: 10+5=15 Exploring Operation: 27+5=32, Resulting Numbers: [10, 32] Generated Node #0,3,2: 23:[10, 32] Operation: 27+5=32 Exploring Operation: 27-5=22, Resulting Numbers: [10, 22] Generated Node #0,3,3: 23:[10, 22] Operation: 27-5=22 Moving to Node #0,1 Current State: 23:[10, 66, 44], Operations: ['71-27=44'] Exploring Operation: 10+66=76, Resulting Numbers: [44, 76] Generated Node #0,1,0: 23:[44, 76] Operation: 10+66=76 Exploring Operation: 66-10=56, Resulting Numbers: [44, 56] Generated Node #0,1,1: 23:[44, 56] Operation: 66-10=56 Exploring Operation: 66-44=22, Resulting Numbers: [10, 22] Generated Node #0,1,2: 23:[10, 22] Operation: 66-44=22 Exploring Operation: 44-10=34, Resulting Numbers: [66, 34] Generated Node #0,1,3: 23:[66, 34] Operation: 44-10=34 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 23:[10, 22], Operations: ['71-27=44', '66-44=22'] Exploring Operation: 22-10=12, Resulting Numbers: [12] 12,23 unequal: No Solution Exploring Operation: 1022=220, Resulting Numbers: [220] 220,23 unequal: No Solution Exploring Operation: 10+22=32, Resulting Numbers: [32] 32,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 23:[44, 56], Operations: ['71-27=44', '66-10=56'] Exploring Operation: 56-44=12, Resulting Numbers: [12] 12,23 unequal: No Solution Exploring Operation: 4456=2464, Resulting Numbers: [2464] 2464,23 unequal: No Solution Exploring Operation: 44+56=100, Resulting Numbers: [100] 100,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 23:[66, 34], Operations: ['71-27=44', '44-10=34'] Exploring Operation: 66+34=100, Resulting Numbers: [100] 100,23 unequal: No Solution Exploring Operation: 66-34=32, Resulting Numbers: [32] 32,23 unequal: No Solution Exploring Operation: 6634=2244, Resulting Numbers: [2244] 2244,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 23:[44, 76], Operations: ['71-27=44', '10+66=76'] Exploring Operation: 44+76=120, Resulting Numbers: [120] 120,23 unequal: No Solution Exploring Operation: 4476=3344, Resulting Numbers: [3344] 3344,23 unequal: No Solution Exploring Operation: 76-44=32, Resulting Numbers: [32] 32,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 23:[10, 71, 39], Operations: ['66-27=39'] Exploring Operation: 71-10=61, Resulting Numbers: [39, 61] Generated Node #0,0,0: 23:[39, 61] Operation: 71-10=61 Exploring Operation: 71-39=32, Resulting Numbers: [10, 32] Generated Node #0,0,1: 23:[10, 32] Operation: 71-39=32 Exploring Operation: 10+71=81, Resulting Numbers: [39, 81] Generated Node #0,0,2: 23:[39, 81] Operation: 10+71=81 Exploring Operation: 39-10=29, Resulting Numbers: [71, 29] Generated Node #0,0,3: 23:[71, 29] Operation: 39-10=29 Moving to Node #0,2 Current State: 23:[27, 66, 61], Operations: ['71-10=61'] Exploring Operation: 27+66=93, Resulting Numbers: [61, 93] Generated Node #0,2,0: 23:[61, 93] Operation: 27+66=93 Exploring Operation: 66-27=39, Resulting Numbers: [61, 39] Generated Node #0,2,1: 23:[61, 39] Operation: 66-27=39 Exploring Operation: 66-61=5, Resulting Numbers: [27, 5] Generated Node #0,2,2: 23:[27, 5] Operation: 66-61=5 Exploring Operation: 61-27=34, Resulting Numbers: [66, 34] Generated Node #0,2,3: 23:[66, 34] Operation: 61-27=34 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 23:[27, 5], Operations: ['71-10=61', '66-61=5'] Exploring Operation: 275=135, Resulting Numbers: [135] 135,23 unequal: No Solution Exploring Operation: 27-5=22, Resulting Numbers: [22] 22,23 unequal: No Solution Exploring Operation: 27+5=32, Resulting Numbers: [32] 32,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 23:[61, 39], Operations: ['71-10=61', '66-27=39'] Exploring Operation: 6139=2379, Resulting Numbers: [2379] 2379,23 unequal: No Solution Exploring Operation: 61-39=22, Resulting Numbers: [22] 22,23 unequal: No Solution Exploring Operation: 61+39=100, Resulting Numbers: [100] 100,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 23:[66, 34], Operations: ['71-10=61', '61-27=34'] Exploring Operation: 6634=2244, Resulting Numbers: [2244] 2244,23 unequal: No Solution Exploring Operation: 66-34=32, Resulting Numbers: [32] 32,23 unequal: No Solution Exploring Operation: 66+34=100, Resulting Numbers: [100] 100,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 23:[61, 93], Operations: ['71-10=61', '27+66=93'] Exploring Operation: 61+93=154, Resulting Numbers: [154] 154,23 unequal: No Solution Exploring Operation: 93-61=32, Resulting Numbers: [32] 32,23 unequal: No Solution Exploring Operation: 6193=5673, Resulting Numbers: [5673] 5673,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3,1 Current State: 23:[27, 15], Operations: ['71-66=5', '10+5=15'] Exploring Operation: 2715=405, Resulting Numbers: [405] 405,23 unequal: No Solution Exploring Operation: 27-15=12, Resulting Numbers: [12] 12,23 unequal: No Solution Exploring Operation: 27+15=42, Resulting Numbers: [42] 42,23 unequal: No Solution Moving to Node #0,3,3 Current State: 23:[10, 22], Operations: ['71-66=5', '27-5=22'] Exploring Operation: 10+22=32, Resulting Numbers: [32] 32,23 unequal: No Solution Exploring Operation: 22-10=12, Resulting Numbers: [12] 12,23 unequal: No Solution Exploring Operation: 1022=220, Resulting Numbers: [220] 220,23 unequal: No Solution Moving to Node #0,3,0 Current State: 23:[27, 5], Operations: ['71-66=5', '10-5=5'] Exploring Operation: 275=135, Resulting Numbers: [135] 135,23 unequal: No Solution Exploring Operation: 27+5=32, Resulting Numbers: [32] 32,23 unequal: No Solution Exploring Operation: 27-5=22, Resulting Numbers: [22] 22,23 unequal: No Solution Moving to Node #0,0,1 Current State: 23:[10, 32], Operations: ['66-27=39', '71-39=32'] Exploring Operation: 32-10=22, Resulting Numbers: [22] 22,23 unequal: No Solution Exploring Operation: 1032=320, Resulting Numbers: [320] 320,23 unequal: No Solution Exploring Operation: 10+32=42, Resulting Numbers: [42] 42,23 unequal: No Solution Moving to Node #0,3,2 Current State: 23:[10, 32], Operations: ['71-66=5', '27+5=32'] Exploring Operation: 32-10=22, Resulting Numbers: [22] 22,23 unequal: No Solution Exploring Operation: 10+32=42, Resulting Numbers: [42] 42,23 unequal: No Solution Exploring Operation: 1032=320, Resulting Numbers: [320] 320,23 unequal: No Solution Moving to Node #0,0,0 Current State: 23:[39, 61], Operations: ['66-27=39', '71-10=61'] Exploring Operation: 61-39=22, Resulting Numbers: [22] 22,23 unequal: No Solution Exploring Operation: 3961=2379, Resulting Numbers: [2379] 2379,23 unequal: No Solution Exploring Operation: 39+61=100, Resulting Numbers: [100] 100,23 unequal: No Solution Moving to Node #0,0,3 Current State: 23:[71, 29], Operations: ['66-27=39', '39-10=29'] Exploring Operation: 7129=2059, Resulting Numbers: [2059] 2059,23 unequal: No Solution Exploring Operation: 71-29=42, Resulting Numbers: [42] 42,23 unequal: No Solution Exploring Operation: 71+29=100, Resulting Numbers: [100] 100,23 unequal: No Solution Moving to Node #0,0,2 Current State: 23:[39, 81], Operations: ['66-27=39', '10+71=81'] Exploring Operation: 39+81=120, Resulting Numbers: [120] 120,23 unequal: No Solution Exploring Operation: 3981=3159, Resulting Numbers: [3159] 3159,23 unequal: No Solution Exploring Operation: 81-39=42, Resulting Numbers: [42] 42,23 unequal: No Solution No solution found.	0	hs_4	sum_heuristic
[ 2, 64, 57, 60 ]	55	[ "64-2=62", "57+60=117", "117-62=55" ]	Current State: 55:[2, 64, 57, 60], Operations: [] Exploring Operation: 64-2=62, Resulting Numbers: [57, 60, 62] Generated Node #2: [57, 60, 62] from Operation: 64-2=62 Current State: 55:[57, 60, 62], Operations: ['64-2=62'] Exploring Operation: 57+60=117, Resulting Numbers: [62, 117] Generated Node #3: [62, 117] from Operation: 57+60=117 Current State: 55:[62, 117], Operations: ['64-2=62', '57+60=117'] Exploring Operation: 117-62=55, Resulting Numbers: [55] 55,55 equal: Goal Reached	4	Current State: 55:[2, 64, 57, 60], Operations: [] Exploring Operation: 64-2=62, Resulting Numbers: [57, 60, 62] Generated Node #0,0: 55:[57, 60, 62] Operation: 64-2=62 Exploring Operation: 64-57=7, Resulting Numbers: [2, 60, 7] Generated Node #0,1: 55:[2, 60, 7] Operation: 64-57=7 Exploring Operation: 57-2=55, Resulting Numbers: [64, 60, 55] Generated Node #0,2: 55:[64, 60, 55] Operation: 57-2=55 Exploring Operation: 64-60=4, Resulting Numbers: [2, 57, 4] Generated Node #0,3: 55:[2, 57, 4] Operation: 64-60=4 Start Sub Search at level 1: Moving to Node #0,3 Current State: 55:[2, 57, 4], Operations: ['64-60=4'] Exploring Operation: 57-2=55, Resulting Numbers: [4, 55] Generated Node #0,3,0: 55:[4, 55] Operation: 57-2=55 Exploring Operation: 24=8, Resulting Numbers: [57, 8] Generated Node #0,3,1: 55:[57, 8] Operation: 24=8 Exploring Operation: 2+4=6, Resulting Numbers: [57, 6] Generated Node #0,3,2: 55:[57, 6] Operation: 2+4=6 Exploring Operation: 2+57=59, Resulting Numbers: [4, 59] Generated Node #0,3,3: 55:[4, 59] Operation: 2+57=59 Moving to Node #0,3,0 Current State: 55:[4, 55], Operations: ['64-60=4', '57-2=55'] Exploring Operation: 4+55=59, Resulting Numbers: [59] 59,55 unequal: No Solution Exploring Operation: 455=220, Resulting Numbers: [220] 220,55 unequal: No Solution Exploring Operation: 55-4=51, Resulting Numbers: [51] 51,55 unequal: No Solution Moving to Node #0,3,2 Current State: 55:[57, 6], Operations: ['64-60=4', '2+4=6'] Exploring Operation: 57+6=63, Resulting Numbers: [63] 63,55 unequal: No Solution Exploring Operation: 57-6=51, Resulting Numbers: [51] 51,55 unequal: No Solution Exploring Operation: 576=342, Resulting Numbers: [342] 342,55 unequal: No Solution Moving to Node #0,3,3 Current State: 55:[4, 59], Operations: ['64-60=4', '2+57=59'] Exploring Operation: 59-4=55, Resulting Numbers: [55] 55,55 equal: Goal Reached Moving to Node #0 Current State: 55:[2, 64, 57, 60], Operations: [] Exploring Operation: 64-60=4, Resulting Numbers: [2, 57, 4] Generated Node #0,3: 55:[2, 57, 4] Operation: 64-60=4 Moving to Node #0,3 Current State: 55:[2, 57, 4], Operations: ['64-60=4'] Exploring Operation: 2+57=59, Resulting Numbers: [4, 59] Generated Node #0,3,3: 55:[4, 59] Operation: 2+57=59 Moving to Node #0,3,3 Current State: 55:[4, 59], Operations: ['64-60=4', '2+57=59'] Exploring Operation: 59-4=55, Resulting Numbers: [55] 55,55 equal: Goal Reached Exit Sub Search at level 1	0.983507	hs_4	sum_heuristic
[ 5, 86, 6, 72 ]	40	[ "86-6=80", "80-72=8", "5*8=40" ]	Current State: 40:[5, 86, 6, 72], Operations: [] Exploring Operation: 86-6=80, Resulting Numbers: [5, 72, 80] Generated Node #2: [5, 72, 80] from Operation: 86-6=80 Current State: 40:[5, 72, 80], Operations: ['86-6=80'] Exploring Operation: 80-72=8, Resulting Numbers: [5, 8] Generated Node #3: [5, 8] from Operation: 80-72=8 Current State: 40:[5, 8], Operations: ['86-6=80', '80-72=8'] Exploring Operation: 5*8=40, Resulting Numbers: [40] 40,40 equal: Goal Reached	4	Current State: 40:[5, 86, 6, 72], Operations: [] Exploring Operation: 86-6=80, Resulting Numbers: [5, 72, 80] Generated Node #0,0: 40:[5, 72, 80] Operation: 86-6=80 Exploring Operation: 86-72=14, Resulting Numbers: [5, 6, 14] Generated Node #0,1: 40:[5, 6, 14] Operation: 86-72=14 Exploring Operation: 72/6=12, Resulting Numbers: [5, 86, 12] Generated Node #0,2: 40:[5, 86, 12] Operation: 72/6=12 Moving to Node #0,1 Current State: 40:[5, 6, 14], Operations: ['86-72=14'] Exploring Operation: 5+14=19, Resulting Numbers: [6, 19] Generated Node #0,1,0: 40:[6, 19] Operation: 5+14=19 Exploring Operation: 14-6=8, Resulting Numbers: [5, 8] Generated Node #0,1,1: 40:[5, 8] Operation: 14-6=8 Exploring Operation: 6+14=20, Resulting Numbers: [5, 20] Generated Node #0,1,2: 40:[5, 20] Operation: 6+14=20 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 40:[5, 8], Operations: ['86-72=14', '14-6=8'] Exploring Operation: 5+8=13, Resulting Numbers: [13] 13,40 unequal: No Solution Exploring Operation: 58=40, Resulting Numbers: [40] 40,40 equal: Goal Reached Moving to Node #0 Current State: 40:[5, 86, 6, 72], Operations: [] Exploring Operation: 86-72=14, Resulting Numbers: [5, 6, 14] Generated Node #0,1: 40:[5, 6, 14] Operation: 86-72=14 Moving to Node #0,1 Current State: 40:[5, 6, 14], Operations: ['86-72=14'] Exploring Operation: 14-6=8, Resulting Numbers: [5, 8] Generated Node #0,1,1: 40:[5, 8] Operation: 14-6=8 Moving to Node #0,1,1 Current State: 40:[5, 8], Operations: ['86-72=14', '14-6=8'] Exploring Operation: 58=40, Resulting Numbers: [40] 40,40 equal: Goal Reached Exit Sub Search at level 1	0.989583	hs_3	mult_heuristic
[ 14, 41, 67, 81 ]	41	[ "14+41=55", "81-67=14", "55-14=41" ]	Current State: 41:[14, 41, 67, 81], Operations: [] Exploring Operation: 14+41=55, Resulting Numbers: [67, 81, 55] Generated Node #2: [67, 81, 55] from Operation: 14+41=55 Current State: 41:[67, 81, 55], Operations: ['14+41=55'] Exploring Operation: 81-67=14, Resulting Numbers: [55, 14] Generated Node #3: [55, 14] from Operation: 81-67=14 Current State: 41:[55, 14], Operations: ['14+41=55', '81-67=14'] Exploring Operation: 55-14=41, Resulting Numbers: [41] 41,41 equal: Goal Reached	4	Current State: 41:[14, 41, 67, 81], Operations: [] Exploring Operation: 81-67=14, Resulting Numbers: [14, 41, 14] Generated Node #0,0: 41:[14, 41, 14] Operation: 81-67=14 Exploring Operation: 81-14=67, Resulting Numbers: [41, 67, 67] Generated Node #0,1: 41:[41, 67, 67] Operation: 81-14=67 Exploring Operation: 81-41=40, Resulting Numbers: [14, 67, 40] Generated Node #0,2: 41:[14, 67, 40] Operation: 81-41=40 Exploring Operation: 67-14=53, Resulting Numbers: [41, 81, 53] Generated Node #0,3: 41:[41, 81, 53] Operation: 67-14=53 Start Sub Search at level 1: Moving to Node #0,1 Current State: 41:[41, 67, 67], Operations: ['81-14=67'] Exploring Operation: 67/67=1, Resulting Numbers: [41, 1] Generated Node #0,1,0: 41:[41, 1] Operation: 67/67=1 Exploring Operation: 67-41=26, Resulting Numbers: [67, 26] Generated Node #0,1,1: 41:[67, 26] Operation: 67-41=26 Exploring Operation: 67-67=0, Resulting Numbers: [41, 0] Generated Node #0,1,2: 41:[41, 0] Operation: 67-67=0 Exploring Operation: 67-41=26, Resulting Numbers: [67, 26] Generated Node #0,1,3: 41:[67, 26] Operation: 67-41=26 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 41:[41, 1], Operations: ['81-14=67', '67/67=1'] Exploring Operation: 41+1=42, Resulting Numbers: [42] 42,41 unequal: No Solution Exploring Operation: 41/1=41, Resulting Numbers: [41] 41,41 equal: Goal Reached Moving to Node #0 Current State: 41:[14, 41, 67, 81], Operations: [] Exploring Operation: 81-14=67, Resulting Numbers: [41, 67, 67] Generated Node #0,1: 41:[41, 67, 67] Operation: 81-14=67 Moving to Node #0,1 Current State: 41:[41, 67, 67], Operations: ['81-14=67'] Exploring Operation: 67/67=1, Resulting Numbers: [41, 1] Generated Node #0,1,0: 41:[41, 1] Operation: 67/67=1 Moving to Node #0,1,0 Current State: 41:[41, 1], Operations: ['81-14=67', '67/67=1'] Exploring Operation: 41/1=41, Resulting Numbers: [41] 41,41 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.987847	hs_4	mult_heuristic
[ 33, 53, 38, 58 ]	10	[ "33+53=86", "38+58=96", "96-86=10" ]	Current State: 10:[33, 53, 38, 58], Operations: [] Exploring Operation: 33+53=86, Resulting Numbers: [38, 58, 86] Generated Node #2: [38, 58, 86] from Operation: 33+53=86 Current State: 10:[38, 58, 86], Operations: ['33+53=86'] Exploring Operation: 38+58=96, Resulting Numbers: [86, 96] Generated Node #3: [86, 96] from Operation: 38+58=96 Current State: 10:[86, 96], Operations: ['33+53=86', '38+58=96'] Exploring Operation: 96-86=10, Resulting Numbers: [10] 10,10 equal: Goal Reached	4	Current State: 10:[33, 53, 38, 58], Operations: [] Exploring Operation: 58-38=20, Resulting Numbers: [33, 53, 20] Generated Node #0,0: 10:[33, 53, 20] Operation: 58-38=20 Exploring Operation: 53-33=20, Resulting Numbers: [38, 58, 20] Generated Node #0,1: 10:[38, 58, 20] Operation: 53-33=20 Exploring Operation: 58-53=5, Resulting Numbers: [33, 38, 5] Generated Node #0,2: 10:[33, 38, 5] Operation: 58-53=5 Exploring Operation: 53-38=15, Resulting Numbers: [33, 58, 15] Generated Node #0,3: 10:[33, 58, 15] Operation: 53-38=15 Start Sub Search at level 1: Moving to Node #0,2 Current State: 10:[33, 38, 5], Operations: ['58-53=5'] Exploring Operation: 33+5=38, Resulting Numbers: [38, 38] Generated Node #0,2,0: 10:[38, 38] Operation: 33+5=38 Exploring Operation: 38-5=33, Resulting Numbers: [33, 33] Generated Node #0,2,1: 10:[33, 33] Operation: 38-5=33 Exploring Operation: 33-5=28, Resulting Numbers: [38, 28] Generated Node #0,2,2: 10:[38, 28] Operation: 33-5=28 Exploring Operation: 38-33=5, Resulting Numbers: [5, 5] Generated Node #0,2,3: 10:[5, 5] Operation: 38-33=5 Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 10:[5, 5], Operations: ['58-53=5', '38-33=5'] Exploring Operation: 5*5=25, Resulting Numbers: [25] 25,10 unequal: No Solution Exploring Operation: 5-5=0, Resulting Numbers: [0] 0,10 unequal: No Solution Exploring Operation: 5/5=1, Resulting Numbers: [1] 1,10 unequal: No Solution Exploring Operation: 5+5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached Moving to Node #0 Current State: 10:[33, 53, 38, 58], Operations: [] Exploring Operation: 58-53=5, Resulting Numbers: [33, 38, 5] Generated Node #0,2: 10:[33, 38, 5] Operation: 58-53=5 Moving to Node #0,2 Current State: 10:[33, 38, 5], Operations: ['58-53=5'] Exploring Operation: 38-33=5, Resulting Numbers: [5, 5] Generated Node #0,2,3: 10:[5, 5] Operation: 38-33=5 Moving to Node #0,2,3 Current State: 10:[5, 5], Operations: ['58-53=5', '38-33=5'] Exploring Operation: 5+5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.986111	hs_4	mult_heuristic
[ 38, 3, 7, 34 ]	57	[ "38+7=45", "3*34=102", "102-45=57" ]	Current State: 57:[38, 3, 7, 34], Operations: [] Exploring Operation: 38+7=45, Resulting Numbers: [3, 34, 45] Generated Node #2: [3, 34, 45] from Operation: 38+7=45 Current State: 57:[3, 34, 45], Operations: ['38+7=45'] Exploring Operation: 334=102, Resulting Numbers: [45, 102] Generated Node #3: [45, 102] from Operation: 334=102 Current State: 57:[45, 102], Operations: ['38+7=45', '3*34=102'] Exploring Operation: 102-45=57, Resulting Numbers: [57] 57,57 equal: Goal Reached	4	Current State: 57:[38, 3, 7, 34], Operations: [] Exploring Operation: 38-34=4, Resulting Numbers: [3, 7, 4] Generated Node #0,0: 57:[3, 7, 4] Operation: 38-34=4 Start Sub Search at level 1: Moving to Node #0,0 Current State: 57:[3, 7, 4], Operations: ['38-34=4'] Exploring Operation: 7-4=3, Resulting Numbers: [3, 3] Generated Node #0,0,0: 57:[3, 3] Operation: 7-4=3 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 57:[3, 3], Operations: ['38-34=4', '7-4=3'] Exploring Operation: 3/3=1, Resulting Numbers: [1] 1,57 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	mult_heuristic
[ 93, 35, 37, 68 ]	90	[ "37+68=105", "105/35=3", "93-3=90" ]	Current State: 90:[93, 35, 37, 68], Operations: [] Exploring Operation: 37+68=105, Resulting Numbers: [93, 35, 105] Generated Node #2: [93, 35, 105] from Operation: 37+68=105 Current State: 90:[93, 35, 105], Operations: ['37+68=105'] Exploring Operation: 105/35=3, Resulting Numbers: [93, 3] Generated Node #3: [93, 3] from Operation: 105/35=3 Current State: 90:[93, 3], Operations: ['37+68=105', '105/35=3'] Exploring Operation: 93-3=90, Resulting Numbers: [90] 90,90 equal: Goal Reached	4	Current State: 90:[93, 35, 37, 68], Operations: [] Exploring Operation: 93-68=25, Resulting Numbers: [35, 37, 25] Generated Node #0,0: 90:[35, 37, 25] Operation: 93-68=25 Exploring Operation: 68-37=31, Resulting Numbers: [93, 35, 31] Generated Node #0,1: 90:[93, 35, 31] Operation: 68-37=31 Exploring Operation: 68-35=33, Resulting Numbers: [93, 37, 33] Generated Node #0,2: 90:[93, 37, 33] Operation: 68-35=33 Exploring Operation: 35+68=103, Resulting Numbers: [93, 37, 103] Generated Node #0,3: 90:[93, 37, 103] Operation: 35+68=103 Start Sub Search at level 1: Moving to Node #0,1 Current State: 90:[93, 35, 31], Operations: ['68-37=31'] Exploring Operation: 93/31=3, Resulting Numbers: [35, 3] Generated Node #0,1,0: 90:[35, 3] Operation: 93/31=3 Exploring Operation: 93-31=62, Resulting Numbers: [35, 62] Generated Node #0,1,1: 90:[35, 62] Operation: 93-31=62 Exploring Operation: 35-31=4, Resulting Numbers: [93, 4] Generated Node #0,1,2: 90:[93, 4] Operation: 35-31=4 Exploring Operation: 93-35=58, Resulting Numbers: [31, 58] Generated Node #0,1,3: 90:[31, 58] Operation: 93-35=58 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 90:[93, 4], Operations: ['68-37=31', '35-31=4'] Exploring Operation: 93-4=89, Resulting Numbers: [89] 89,90 unequal: No Solution Exploring Operation: 934=372, Resulting Numbers: [372] 372,90 unequal: No Solution Exploring Operation: 93+4=97, Resulting Numbers: [97] 97,90 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 90:[35, 3], Operations: ['68-37=31', '93/31=3'] Exploring Operation: 35+3=38, Resulting Numbers: [38] 38,90 unequal: No Solution Exploring Operation: 353=105, Resulting Numbers: [105] 105,90 unequal: No Solution Exploring Operation: 35-3=32, Resulting Numbers: [32] 32,90 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 90:[31, 58], Operations: ['68-37=31', '93-35=58'] Exploring Operation: 58-31=27, Resulting Numbers: [27] 27,90 unequal: No Solution Exploring Operation: 31+58=89, Resulting Numbers: [89] 89,90 unequal: No Solution Exploring Operation: 3158=1798, Resulting Numbers: [1798] 1798,90 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 90:[35, 62], Operations: ['68-37=31', '93-31=62'] Exploring Operation: 35+62=97, Resulting Numbers: [97] 97,90 unequal: No Solution Exploring Operation: 62-35=27, Resulting Numbers: [27] 27,90 unequal: No Solution Exploring Operation: 3562=2170, Resulting Numbers: [2170] 2170,90 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 90:[93, 37, 33], Operations: ['68-35=33'] Exploring Operation: 37-33=4, Resulting Numbers: [93, 4] Generated Node #0,2,0: 90:[93, 4] Operation: 37-33=4 Exploring Operation: 93-37=56, Resulting Numbers: [33, 56] Generated Node #0,2,1: 90:[33, 56] Operation: 93-37=56 Exploring Operation: 93-33=60, Resulting Numbers: [37, 60] Generated Node #0,2,2: 90:[37, 60] Operation: 93-33=60 Exploring Operation: 37+33=70, Resulting Numbers: [93, 70] Generated Node #0,2,3: 90:[93, 70] Operation: 37+33=70 Moving to Node #0,2,0 Current State: 90:[93, 4], Operations: ['68-35=33', '37-33=4'] Exploring Operation: 93+4=97, Resulting Numbers: [97] 97,90 unequal: No Solution Exploring Operation: 93-4=89, Resulting Numbers: [89] 89,90 unequal: No Solution Exploring Operation: 934=372, Resulting Numbers: [372] 372,90 unequal: No Solution Moving to Node #0,2,1 Current State: 90:[33, 56], Operations: ['68-35=33', '93-37=56'] Exploring Operation: 3356=1848, Resulting Numbers: [1848] 1848,90 unequal: No Solution Exploring Operation: 56-33=23, Resulting Numbers: [23] 23,90 unequal: No Solution Exploring Operation: 33+56=89, Resulting Numbers: [89] 89,90 unequal: No Solution Moving to Node #0,2,2 Current State: 90:[37, 60], Operations: ['68-35=33', '93-33=60'] Exploring Operation: 37+60=97, Resulting Numbers: [97] 97,90 unequal: No Solution Exploring Operation: 60-37=23, Resulting Numbers: [23] 23,90 unequal: No Solution Exploring Operation: 3760=2220, Resulting Numbers: [2220] 2220,90 unequal: No Solution Moving to Node #0,2,3 Current State: 90:[93, 70], Operations: ['68-35=33', '37+33=70'] Exploring Operation: 9370=6510, Resulting Numbers: [6510] 6510,90 unequal: No Solution Exploring Operation: 93+70=163, Resulting Numbers: [163] 163,90 unequal: No Solution Exploring Operation: 93-70=23, Resulting Numbers: [23] 23,90 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 90:[35, 37, 25], Operations: ['93-68=25'] Exploring Operation: 35-25=10, Resulting Numbers: [37, 10] Generated Node #0,0,0: 90:[37, 10] Operation: 35-25=10 Exploring Operation: 37-25=12, Resulting Numbers: [35, 12] Generated Node #0,0,1: 90:[35, 12] Operation: 37-25=12 Exploring Operation: 35+25=60, Resulting Numbers: [37, 60] Generated Node #0,0,2: 90:[37, 60] Operation: 35+25=60 Exploring Operation: 37-35=2, Resulting Numbers: [25, 2] Generated Node #0,0,3: 90:[25, 2] Operation: 37-35=2 Moving to Node #0,0,3 Current State: 90:[25, 2], Operations: ['93-68=25', '37-35=2'] Exploring Operation: 25-2=23, Resulting Numbers: [23] 23,90 unequal: No Solution Exploring Operation: 252=50, Resulting Numbers: [50] 50,90 unequal: No Solution Exploring Operation: 25+2=27, Resulting Numbers: [27] 27,90 unequal: No Solution Moving to Node #0,0,1 Current State: 90:[35, 12], Operations: ['93-68=25', '37-25=12'] Exploring Operation: 35-12=23, Resulting Numbers: [23] 23,90 unequal: No Solution Exploring Operation: 35+12=47, Resulting Numbers: [47] 47,90 unequal: No Solution Exploring Operation: 3512=420, Resulting Numbers: [420] 420,90 unequal: No Solution Moving to Node #0,0,0 Current State: 90:[37, 10], Operations: ['93-68=25', '35-25=10'] Exploring Operation: 37+10=47, Resulting Numbers: [47] 47,90 unequal: No Solution Exploring Operation: 37-10=27, Resulting Numbers: [27] 27,90 unequal: No Solution Exploring Operation: 3710=370, Resulting Numbers: [370] 370,90 unequal: No Solution Moving to Node #0,0,2 Current State: 90:[37, 60], Operations: ['93-68=25', '35+25=60'] Exploring Operation: 37+60=97, Resulting Numbers: [97] 97,90 unequal: No Solution Exploring Operation: 3760=2220, Resulting Numbers: [2220] 2220,90 unequal: No Solution Exploring Operation: 60-37=23, Resulting Numbers: [23] 23,90 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 90:[93, 37, 103], Operations: ['35+68=103'] Exploring Operation: 93+37=130, Resulting Numbers: [103, 130] Generated Node #0,3,0: 90:[103, 130] Operation: 93+37=130 Exploring Operation: 103-37=66, Resulting Numbers: [93, 66] Generated Node #0,3,1: 90:[93, 66] Operation: 103-37=66 Exploring Operation: 93-37=56, Resulting Numbers: [103, 56] Generated Node #0,3,2: 90:[103, 56] Operation: 93-37=56 Exploring Operation: 103-93=10, Resulting Numbers: [37, 10] Generated Node #0,3,3: 90:[37, 10] Operation: 103-93=10 Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 90:[37, 10], Operations: ['35+68=103', '103-93=10'] Exploring Operation: 3710=370, Resulting Numbers: [370] 370,90 unequal: No Solution Exploring Operation: 37+10=47, Resulting Numbers: [47] 47,90 unequal: No Solution Exploring Operation: 37-10=27, Resulting Numbers: [27] 27,90 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 90:[93, 66], Operations: ['35+68=103', '103-37=66'] Exploring Operation: 93-66=27, Resulting Numbers: [27] 27,90 unequal: No Solution Exploring Operation: 93+66=159, Resulting Numbers: [159] 159,90 unequal: No Solution Exploring Operation: 9366=6138, Resulting Numbers: [6138] 6138,90 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 90:[103, 56], Operations: ['35+68=103', '93-37=56'] Exploring Operation: 10356=5768, Resulting Numbers: [5768] 5768,90 unequal: No Solution Exploring Operation: 103-56=47, Resulting Numbers: [47] 47,90 unequal: No Solution Exploring Operation: 103+56=159, Resulting Numbers: [159] 159,90 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 90:[103, 130], Operations: ['35+68=103', '93+37=130'] Exploring Operation: 130-103=27, Resulting Numbers: [27] 27,90 unequal: No Solution Exploring Operation: 103130=13390, Resulting Numbers: [13390] 13390,90 unequal: No Solution Exploring Operation: 103+130=233, Resulting Numbers: [233] 233,90 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_4	sum_heuristic
[ 59, 68, 12, 31 ]	28	[ "68-59=9", "31-12=19", "9+19=28" ]	Current State: 28:[59, 68, 12, 31], Operations: [] Exploring Operation: 68-59=9, Resulting Numbers: [12, 31, 9] Generated Node #2: [12, 31, 9] from Operation: 68-59=9 Current State: 28:[12, 31, 9], Operations: ['68-59=9'] Exploring Operation: 31-12=19, Resulting Numbers: [9, 19] Generated Node #3: [9, 19] from Operation: 31-12=19 Current State: 28:[9, 19], Operations: ['68-59=9', '31-12=19'] Exploring Operation: 9+19=28, Resulting Numbers: [28] 28,28 equal: Goal Reached	4	Current State: 28:[59, 68, 12, 31], Operations: [] Exploring Operation: 68-59=9, Resulting Numbers: [12, 31, 9] Generated Node #0,0: 28:[12, 31, 9] Operation: 68-59=9 Moving to Node #0,0 Current State: 28:[12, 31, 9], Operations: ['68-59=9'] Exploring Operation: 12-9=3, Resulting Numbers: [31, 3] Generated Node #0,0,0: 28:[31, 3] Operation: 12-9=3 Moving to Node #0,0,0 Current State: 28:[31, 3], Operations: ['68-59=9', '12-9=3'] Exploring Operation: 31-3=28, Resulting Numbers: [28] 28,28 equal: Goal Reached Moving to Node #0 Current State: 28:[59, 68, 12, 31], Operations: [] Exploring Operation: 68-59=9, Resulting Numbers: [12, 31, 9] Generated Node #0,0: 28:[12, 31, 9] Operation: 68-59=9 Moving to Node #0,0 Current State: 28:[12, 31, 9], Operations: ['68-59=9'] Exploring Operation: 12-9=3, Resulting Numbers: [31, 3] Generated Node #0,0,0: 28:[31, 3] Operation: 12-9=3 Moving to Node #0,0,0 Current State: 28:[31, 3], Operations: ['68-59=9', '12-9=3'] Exploring Operation: 31-3=28, Resulting Numbers: [28] 28,28 equal: Goal Reached	0.993924	hs_1	mult_heuristic
[ 90, 69, 38, 51 ]	99	[ "9038=3420", "6951=3519", "3519-3420=99" ]	Current State: 99:[90, 69, 38, 51], Operations: [] Exploring Operation: 9038=3420, Resulting Numbers: [69, 51, 3420] Generated Node #2: [69, 51, 3420] from Operation: 9038=3420 Current State: 99:[69, 51, 3420], Operations: ['9038=3420'] Exploring Operation: 6951=3519, Resulting Numbers: [3420, 3519] Generated Node #3: [3420, 3519] from Operation: 6951=3519 Current State: 99:[3420, 3519], Operations: ['9038=3420', '69*51=3519'] Exploring Operation: 3519-3420=99, Resulting Numbers: [99] 99,99 equal: Goal Reached	4	Current State: 99:[90, 69, 38, 51], Operations: [] Exploring Operation: 69+51=120, Resulting Numbers: [90, 38, 120] Generated Node #0,0: 99:[90, 38, 120] Operation: 69+51=120 Exploring Operation: 90-69=21, Resulting Numbers: [38, 51, 21] Generated Node #0,1: 99:[38, 51, 21] Operation: 90-69=21 Exploring Operation: 69-51=18, Resulting Numbers: [90, 38, 18] Generated Node #0,2: 99:[90, 38, 18] Operation: 69-51=18 Exploring Operation: 69-38=31, Resulting Numbers: [90, 51, 31] Generated Node #0,3: 99:[90, 51, 31] Operation: 69-38=31 Exploring Operation: 69+38=107, Resulting Numbers: [90, 51, 107] Generated Node #0,4: 99:[90, 51, 107] Operation: 69+38=107 Moving to Node #0,2 Current State: 99:[90, 38, 18], Operations: ['69-51=18'] Exploring Operation: 90-38=52, Resulting Numbers: [18, 52] Generated Node #0,2,0: 99:[18, 52] Operation: 90-38=52 Exploring Operation: 90-18=72, Resulting Numbers: [38, 72] Generated Node #0,2,1: 99:[38, 72] Operation: 90-18=72 Exploring Operation: 90+18=108, Resulting Numbers: [38, 108] Generated Node #0,2,2: 99:[38, 108] Operation: 90+18=108 Exploring Operation: 38-18=20, Resulting Numbers: [90, 20] Generated Node #0,2,3: 99:[90, 20] Operation: 38-18=20 Exploring Operation: 90/18=5, Resulting Numbers: [38, 5] Generated Node #0,2,4: 99:[38, 5] Operation: 90/18=5 Moving to Node #0,3 Current State: 99:[90, 51, 31], Operations: ['69-38=31'] Exploring Operation: 90+51=141, Resulting Numbers: [31, 141] Generated Node #0,3,0: 99:[31, 141] Operation: 90+51=141 Exploring Operation: 51-31=20, Resulting Numbers: [90, 20] Generated Node #0,3,1: 99:[90, 20] Operation: 51-31=20 Exploring Operation: 90+31=121, Resulting Numbers: [51, 121] Generated Node #0,3,2: 99:[51, 121] Operation: 90+31=121 Exploring Operation: 90-51=39, Resulting Numbers: [31, 39] Generated Node #0,3,3: 99:[31, 39] Operation: 90-51=39 Exploring Operation: 51+31=82, Resulting Numbers: [90, 82] Generated Node #0,3,4: 99:[90, 82] Operation: 51+31=82 Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 99:[31, 39], Operations: ['69-38=31', '90-51=39'] Exploring Operation: 3139=1209, Resulting Numbers: [1209] 1209,99 unequal: No Solution Exploring Operation: 31+39=70, Resulting Numbers: [70] 70,99 unequal: No Solution Exploring Operation: 39-31=8, Resulting Numbers: [8] 8,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 99:[90, 20], Operations: ['69-38=31', '51-31=20'] Exploring Operation: 90+20=110, Resulting Numbers: [110] 110,99 unequal: No Solution Exploring Operation: 9020=1800, Resulting Numbers: [1800] 1800,99 unequal: No Solution Exploring Operation: 90-20=70, Resulting Numbers: [70] 70,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 99:[90, 82], Operations: ['69-38=31', '51+31=82'] Exploring Operation: 90-82=8, Resulting Numbers: [8] 8,99 unequal: No Solution Exploring Operation: 9082=7380, Resulting Numbers: [7380] 7380,99 unequal: No Solution Exploring Operation: 90+82=172, Resulting Numbers: [172] 172,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 99:[51, 121], Operations: ['69-38=31', '90+31=121'] Exploring Operation: 51+121=172, Resulting Numbers: [172] 172,99 unequal: No Solution Exploring Operation: 121-51=70, Resulting Numbers: [70] 70,99 unequal: No Solution Exploring Operation: 51121=6171, Resulting Numbers: [6171] 6171,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 99:[31, 141], Operations: ['69-38=31', '90+51=141'] Exploring Operation: 31+141=172, Resulting Numbers: [172] 172,99 unequal: No Solution Exploring Operation: 141-31=110, Resulting Numbers: [110] 110,99 unequal: No Solution Exploring Operation: 31141=4371, Resulting Numbers: [4371] 4371,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 99:[38, 51, 21], Operations: ['90-69=21'] Exploring Operation: 38-21=17, Resulting Numbers: [51, 17] Generated Node #0,1,0: 99:[51, 17] Operation: 38-21=17 Exploring Operation: 51-38=13, Resulting Numbers: [21, 13] Generated Node #0,1,1: 99:[21, 13] Operation: 51-38=13 Exploring Operation: 51+21=72, Resulting Numbers: [38, 72] Generated Node #0,1,2: 99:[38, 72] Operation: 51+21=72 Exploring Operation: 38+51=89, Resulting Numbers: [21, 89] Generated Node #0,1,3: 99:[21, 89] Operation: 38+51=89 Exploring Operation: 51-21=30, Resulting Numbers: [38, 30] Generated Node #0,1,4: 99:[38, 30] Operation: 51-21=30 Moving to Node #0,0 Current State: 99:[90, 38, 120], Operations: ['69+51=120'] Exploring Operation: 38+120=158, Resulting Numbers: [90, 158] Generated Node #0,0,0: 99:[90, 158] Operation: 38+120=158 Exploring Operation: 120-38=82, Resulting Numbers: [90, 82] Generated Node #0,0,1: 99:[90, 82] Operation: 120-38=82 Exploring Operation: 90+38=128, Resulting Numbers: [120, 128] Generated Node #0,0,2: 99:[120, 128] Operation: 90+38=128 Exploring Operation: 90-38=52, Resulting Numbers: [120, 52] Generated Node #0,0,3: 99:[120, 52] Operation: 90-38=52 Exploring Operation: 120-90=30, Resulting Numbers: [38, 30] Generated Node #0,0,4: 99:[38, 30] Operation: 120-90=30 Moving to Node #0,4 Current State: 99:[90, 51, 107], Operations: ['69+38=107'] Exploring Operation: 107-51=56, Resulting Numbers: [90, 56] Generated Node #0,4,0: 99:[90, 56] Operation: 107-51=56 Exploring Operation: 51+107=158, Resulting Numbers: [90, 158] Generated Node #0,4,1: 99:[90, 158] Operation: 51+107=158 Exploring Operation: 107-90=17, Resulting Numbers: [51, 17] Generated Node #0,4,2: 99:[51, 17] Operation: 107-90=17 Exploring Operation: 90-51=39, Resulting Numbers: [107, 39] Generated Node #0,4,3: 99:[107, 39] Operation: 90-51=39 Exploring Operation: 90+51=141, Resulting Numbers: [107, 141] Generated Node #0,4,4: 99:[107, 141] Operation: 90+51=141 Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 99:[107, 39], Operations: ['69+38=107', '90-51=39'] Exploring Operation: 107+39=146, Resulting Numbers: [146] 146,99 unequal: No Solution Exploring Operation: 107-39=68, Resulting Numbers: [68] 68,99 unequal: No Solution Exploring Operation: 10739=4173, Resulting Numbers: [4173] 4173,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 99:[51, 17], Operations: ['69+38=107', '107-90=17'] Exploring Operation: 51-17=34, Resulting Numbers: [34] 34,99 unequal: No Solution Exploring Operation: 51/17=3, Resulting Numbers: [3] 3,99 unequal: No Solution Exploring Operation: 5117=867, Resulting Numbers: [867] 867,99 unequal: No Solution Exploring Operation: 51+17=68, Resulting Numbers: [68] 68,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 99:[90, 56], Operations: ['69+38=107', '107-51=56'] Exploring Operation: 90-56=34, Resulting Numbers: [34] 34,99 unequal: No Solution Exploring Operation: 9056=5040, Resulting Numbers: [5040] 5040,99 unequal: No Solution Exploring Operation: 90+56=146, Resulting Numbers: [146] 146,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 99:[107, 141], Operations: ['69+38=107', '90+51=141'] Exploring Operation: 107141=15087, Resulting Numbers: [15087] 15087,99 unequal: No Solution Exploring Operation: 141-107=34, Resulting Numbers: [34] 34,99 unequal: No Solution Exploring Operation: 107+141=248, Resulting Numbers: [248] 248,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 99:[90, 158], Operations: ['69+38=107', '51+107=158'] Exploring Operation: 90158=14220, Resulting Numbers: [14220] 14220,99 unequal: No Solution Exploring Operation: 158-90=68, Resulting Numbers: [68] 68,99 unequal: No Solution Exploring Operation: 90+158=248, Resulting Numbers: [248] 248,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2,4 Current State: 99:[38, 5], Operations: ['69-51=18', '90/18=5'] Exploring Operation: 38+5=43, Resulting Numbers: [43] 43,99 unequal: No Solution Exploring Operation: 38-5=33, Resulting Numbers: [33] 33,99 unequal: No Solution Exploring Operation: 385=190, Resulting Numbers: [190] 190,99 unequal: No Solution Moving to Node #0,1,4 Current State: 99:[38, 30], Operations: ['90-69=21', '51-21=30'] Exploring Operation: 38+30=68, Resulting Numbers: [68] 68,99 unequal: No Solution Exploring Operation: 3830=1140, Resulting Numbers: [1140] 1140,99 unequal: No Solution Exploring Operation: 38-30=8, Resulting Numbers: [8] 8,99 unequal: No Solution Moving to Node #0,0,4 Current State: 99:[38, 30], Operations: ['69+51=120', '120-90=30'] Exploring Operation: 3830=1140, Resulting Numbers: [1140] 1140,99 unequal: No Solution Exploring Operation: 38+30=68, Resulting Numbers: [68] 68,99 unequal: No Solution Exploring Operation: 38-30=8, Resulting Numbers: [8] 8,99 unequal: No Solution Moving to Node #0,1,1 Current State: 99:[21, 13], Operations: ['90-69=21', '51-38=13'] Exploring Operation: 2113=273, Resulting Numbers: [273] 273,99 unequal: No Solution Exploring Operation: 21+13=34, Resulting Numbers: [34] 34,99 unequal: No Solution Exploring Operation: 21-13=8, Resulting Numbers: [8] 8,99 unequal: No Solution Moving to Node #0,2,2 Current State: 99:[38, 108], Operations: ['69-51=18', '90+18=108'] Exploring Operation: 38108=4104, Resulting Numbers: [4104] 4104,99 unequal: No Solution Exploring Operation: 38+108=146, Resulting Numbers: [146] 146,99 unequal: No Solution Exploring Operation: 108-38=70, Resulting Numbers: [70] 70,99 unequal: No Solution Moving to Node #0,2,3 Current State: 99:[90, 20], Operations: ['69-51=18', '38-18=20'] Exploring Operation: 90-20=70, Resulting Numbers: [70] 70,99 unequal: No Solution Exploring Operation: 90+20=110, Resulting Numbers: [110] 110,99 unequal: No Solution Exploring Operation: 9020=1800, Resulting Numbers: [1800] 1800,99 unequal: No Solution Moving to Node #0,1,3 Current State: 99:[21, 89], Operations: ['90-69=21', '38+51=89'] Exploring Operation: 89-21=68, Resulting Numbers: [68] 68,99 unequal: No Solution Exploring Operation: 21+89=110, Resulting Numbers: [110] 110,99 unequal: No Solution Exploring Operation: 2189=1869, Resulting Numbers: [1869] 1869,99 unequal: No Solution Moving to Node #0,1,0 Current State: 99:[51, 17], Operations: ['90-69=21', '38-21=17'] Exploring Operation: 5117=867, Resulting Numbers: [867] 867,99 unequal: No Solution Exploring Operation: 51+17=68, Resulting Numbers: [68] 68,99 unequal: No Solution Exploring Operation: 51-17=34, Resulting Numbers: [34] 34,99 unequal: No Solution Exploring Operation: 51/17=3, Resulting Numbers: [3] 3,99 unequal: No Solution Moving to Node #0,0,1 Current State: 99:[90, 82], Operations: ['69+51=120', '120-38=82'] Exploring Operation: 9082=7380, Resulting Numbers: [7380] 7380,99 unequal: No Solution Exploring Operation: 90+82=172, Resulting Numbers: [172] 172,99 unequal: No Solution Exploring Operation: 90-82=8, Resulting Numbers: [8] 8,99 unequal: No Solution Moving to Node #0,2,0 Current State: 99:[18, 52], Operations: ['69-51=18', '90-38=52'] Exploring Operation: 1852=936, Resulting Numbers: [936] 936,99 unequal: No Solution Exploring Operation: 18+52=70, Resulting Numbers: [70] 70,99 unequal: No Solution Exploring Operation: 52-18=34, Resulting Numbers: [34] 34,99 unequal: No Solution Moving to Node #0,2,1 Current State: 99:[38, 72], Operations: ['69-51=18', '90-18=72'] Exploring Operation: 38+72=110, Resulting Numbers: [110] 110,99 unequal: No Solution Exploring Operation: 3872=2736, Resulting Numbers: [2736] 2736,99 unequal: No Solution Exploring Operation: 72-38=34, Resulting Numbers: [34] 34,99 unequal: No Solution Moving to Node #0,1,2 Current State: 99:[38, 72], Operations: ['90-69=21', '51+21=72'] Exploring Operation: 72-38=34, Resulting Numbers: [34] 34,99 unequal: No Solution Exploring Operation: 38+72=110, Resulting Numbers: [110] 110,99 unequal: No Solution Exploring Operation: 3872=2736, Resulting Numbers: [2736] 2736,99 unequal: No Solution Moving to Node #0,0,3 Current State: 99:[120, 52], Operations: ['69+51=120', '90-38=52'] Exploring Operation: 12052=6240, Resulting Numbers: [6240] 6240,99 unequal: No Solution Exploring Operation: 120-52=68, Resulting Numbers: [68] 68,99 unequal: No Solution Exploring Operation: 120+52=172, Resulting Numbers: [172] 172,99 unequal: No Solution Moving to Node #0,0,2 Current State: 99:[120, 128], Operations: ['69+51=120', '90+38=128'] Exploring Operation: 128-120=8, Resulting Numbers: [8] 8,99 unequal: No Solution Exploring Operation: 120+128=248, Resulting Numbers: [248] 248,99 unequal: No Solution Exploring Operation: 120128=15360, Resulting Numbers: [15360] 15360,99 unequal: No Solution Moving to Node #0,0,0 Current State: 99:[90, 158], Operations: ['69+51=120', '38+120=158'] Exploring Operation: 158-90=68, Resulting Numbers: [68] 68,99 unequal: No Solution Exploring Operation: 90*158=14220, Resulting Numbers: [14220] 14220,99 unequal: No Solution Exploring Operation: 90+158=248, Resulting Numbers: [248] 248,99 unequal: No Solution No solution found.	0	hs_5	mult_heuristic
[ 92, 46, 35, 65 ]	98	[ "92/46=2", "35+65=100", "100-2=98" ]	Current State: 98:[92, 46, 35, 65], Operations: [] Exploring Operation: 92/46=2, Resulting Numbers: [35, 65, 2] Generated Node #2: [35, 65, 2] from Operation: 92/46=2 Current State: 98:[35, 65, 2], Operations: ['92/46=2'] Exploring Operation: 35+65=100, Resulting Numbers: [2, 100] Generated Node #3: [2, 100] from Operation: 35+65=100 Current State: 98:[2, 100], Operations: ['92/46=2', '35+65=100'] Exploring Operation: 100-2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached	4	Current State: 98:[92, 46, 35, 65], Operations: [] Exploring Operation: 65-46=19, Resulting Numbers: [92, 35, 19] Generated Node #0,0: 98:[92, 35, 19] Operation: 65-46=19 Exploring Operation: 65-35=30, Resulting Numbers: [92, 46, 30] Generated Node #0,1: 98:[92, 46, 30] Operation: 65-35=30 Exploring Operation: 35+65=100, Resulting Numbers: [92, 46, 100] Generated Node #0,2: 98:[92, 46, 100] Operation: 35+65=100 Exploring Operation: 46-35=11, Resulting Numbers: [92, 65, 11] Generated Node #0,3: 98:[92, 65, 11] Operation: 46-35=11 Exploring Operation: 92-35=57, Resulting Numbers: [46, 65, 57] Generated Node #0,4: 98:[46, 65, 57] Operation: 92-35=57 Start Sub Search at level 1: Moving to Node #0,2 Current State: 98:[92, 46, 100], Operations: ['35+65=100'] Exploring Operation: 92-46=46, Resulting Numbers: [100, 46] Generated Node #0,2,0: 98:[100, 46] Operation: 92-46=46 Exploring Operation: 100-92=8, Resulting Numbers: [46, 8] Generated Node #0,2,1: 98:[46, 8] Operation: 100-92=8 Exploring Operation: 92/46=2, Resulting Numbers: [100, 2] Generated Node #0,2,2: 98:[100, 2] Operation: 92/46=2 Exploring Operation: 92+46=138, Resulting Numbers: [100, 138] Generated Node #0,2,3: 98:[100, 138] Operation: 92+46=138 Exploring Operation: 100-46=54, Resulting Numbers: [92, 54] Generated Node #0,2,4: 98:[92, 54] Operation: 100-46=54 Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 98:[100, 2], Operations: ['35+65=100', '92/46=2'] Exploring Operation: 100+2=102, Resulting Numbers: [102] 102,98 unequal: No Solution Exploring Operation: 100-2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached Moving to Node #0 Current State: 98:[92, 46, 35, 65], Operations: [] Exploring Operation: 35+65=100, Resulting Numbers: [92, 46, 100] Generated Node #0,2: 98:[92, 46, 100] Operation: 35+65=100 Moving to Node #0,2 Current State: 98:[92, 46, 100], Operations: ['35+65=100'] Exploring Operation: 92/46=2, Resulting Numbers: [100, 2] Generated Node #0,2,2: 98:[100, 2] Operation: 92/46=2 Moving to Node #0,2,2 Current State: 98:[100, 2], Operations: ['35+65=100', '92/46=2'] Exploring Operation: 100-2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.986111	hs_5	mult_heuristic
[ 76, 88, 94, 27 ]	97	[ "76+88=164", "94-27=67", "164-67=97" ]	Current State: 97:[76, 88, 94, 27], Operations: [] Exploring Operation: 76+88=164, Resulting Numbers: [94, 27, 164] Generated Node #2: [94, 27, 164] from Operation: 76+88=164 Current State: 97:[94, 27, 164], Operations: ['76+88=164'] Exploring Operation: 94-27=67, Resulting Numbers: [164, 67] Generated Node #3: [164, 67] from Operation: 94-27=67 Current State: 97:[164, 67], Operations: ['76+88=164', '94-27=67'] Exploring Operation: 164-67=97, Resulting Numbers: [97] 97,97 equal: Goal Reached	4	Current State: 97:[76, 88, 94, 27], Operations: [] Exploring Operation: 88+27=115, Resulting Numbers: [76, 94, 115] Generated Node #0,0: 97:[76, 94, 115] Operation: 88+27=115 Exploring Operation: 94+27=121, Resulting Numbers: [76, 88, 121] Generated Node #0,1: 97:[76, 88, 121] Operation: 94+27=121 Exploring Operation: 76-27=49, Resulting Numbers: [88, 94, 49] Generated Node #0,2: 97:[88, 94, 49] Operation: 76-27=49 Exploring Operation: 76+27=103, Resulting Numbers: [88, 94, 103] Generated Node #0,3: 97:[88, 94, 103] Operation: 76+27=103 Moving to Node #0,3 Current State: 97:[88, 94, 103], Operations: ['76+27=103'] Exploring Operation: 94-88=6, Resulting Numbers: [103, 6] Generated Node #0,3,0: 97:[103, 6] Operation: 94-88=6 Exploring Operation: 103-88=15, Resulting Numbers: [94, 15] Generated Node #0,3,1: 97:[94, 15] Operation: 103-88=15 Exploring Operation: 88+94=182, Resulting Numbers: [103, 182] Generated Node #0,3,2: 97:[103, 182] Operation: 88+94=182 Exploring Operation: 88+103=191, Resulting Numbers: [94, 191] Generated Node #0,3,3: 97:[94, 191] Operation: 88+103=191 Moving to Node #0,0 Current State: 97:[76, 94, 115], Operations: ['88+27=115'] Exploring Operation: 76+94=170, Resulting Numbers: [115, 170] Generated Node #0,0,0: 97:[115, 170] Operation: 76+94=170 Exploring Operation: 76+115=191, Resulting Numbers: [94, 191] Generated Node #0,0,1: 97:[94, 191] Operation: 76+115=191 Exploring Operation: 94-76=18, Resulting Numbers: [115, 18] Generated Node #0,0,2: 97:[115, 18] Operation: 94-76=18 Exploring Operation: 115-76=39, Resulting Numbers: [94, 39] Generated Node #0,0,3: 97:[94, 39] Operation: 115-76=39 Moving to Node #0,1 Current State: 97:[76, 88, 121], Operations: ['94+27=121'] Exploring Operation: 88-76=12, Resulting Numbers: [121, 12] Generated Node #0,1,0: 97:[121, 12] Operation: 88-76=12 Exploring Operation: 121-76=45, Resulting Numbers: [88, 45] Generated Node #0,1,1: 97:[88, 45] Operation: 121-76=45 Exploring Operation: 121-88=33, Resulting Numbers: [76, 33] Generated Node #0,1,2: 97:[76, 33] Operation: 121-88=33 Exploring Operation: 76+88=164, Resulting Numbers: [121, 164] Generated Node #0,1,3: 97:[121, 164] Operation: 76+88=164 Moving to Node #0,2 Current State: 97:[88, 94, 49], Operations: ['76-27=49'] Exploring Operation: 94+49=143, Resulting Numbers: [88, 143] Generated Node #0,2,0: 97:[88, 143] Operation: 94+49=143 Exploring Operation: 88-49=39, Resulting Numbers: [94, 39] Generated Node #0,2,1: 97:[94, 39] Operation: 88-49=39 Exploring Operation: 88+49=137, Resulting Numbers: [94, 137] Generated Node #0,2,2: 97:[94, 137] Operation: 88+49=137 Exploring Operation: 94-49=45, Resulting Numbers: [88, 45] Generated Node #0,2,3: 97:[88, 45] Operation: 94-49=45 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 97:[94, 137], Operations: ['76-27=49', '88+49=137'] Exploring Operation: 94137=12878, Resulting Numbers: [12878] 12878,97 unequal: No Solution Exploring Operation: 94+137=231, Resulting Numbers: [231] 231,97 unequal: No Solution Exploring Operation: 137-94=43, Resulting Numbers: [43] 43,97 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 97:[88, 143], Operations: ['76-27=49', '94+49=143'] Exploring Operation: 88143=12584, Resulting Numbers: [12584] 12584,97 unequal: No Solution Exploring Operation: 143-88=55, Resulting Numbers: [55] 55,97 unequal: No Solution Exploring Operation: 88+143=231, Resulting Numbers: [231] 231,97 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 97:[94, 39], Operations: ['76-27=49', '88-49=39'] Exploring Operation: 94-39=55, Resulting Numbers: [55] 55,97 unequal: No Solution Exploring Operation: 9439=3666, Resulting Numbers: [3666] 3666,97 unequal: No Solution Exploring Operation: 94+39=133, Resulting Numbers: [133] 133,97 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 97:[88, 45], Operations: ['76-27=49', '94-49=45'] Exploring Operation: 8845=3960, Resulting Numbers: [3960] 3960,97 unequal: No Solution Exploring Operation: 88+45=133, Resulting Numbers: [133] 133,97 unequal: No Solution Exploring Operation: 88-45=43, Resulting Numbers: [43] 43,97 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0,3 Current State: 97:[94, 39], Operations: ['88+27=115', '115-76=39'] Exploring Operation: 9439=3666, Resulting Numbers: [3666] 3666,97 unequal: No Solution Exploring Operation: 94+39=133, Resulting Numbers: [133] 133,97 unequal: No Solution Exploring Operation: 94-39=55, Resulting Numbers: [55] 55,97 unequal: No Solution Moving to Node #0,1,1 Current State: 97:[88, 45], Operations: ['94+27=121', '121-76=45'] Exploring Operation: 88+45=133, Resulting Numbers: [133] 133,97 unequal: No Solution Exploring Operation: 8845=3960, Resulting Numbers: [3960] 3960,97 unequal: No Solution Exploring Operation: 88-45=43, Resulting Numbers: [43] 43,97 unequal: No Solution Moving to Node #0,1,2 Current State: 97:[76, 33], Operations: ['94+27=121', '121-88=33'] Exploring Operation: 76+33=109, Resulting Numbers: [109] 109,97 unequal: No Solution Exploring Operation: 7633=2508, Resulting Numbers: [2508] 2508,97 unequal: No Solution Exploring Operation: 76-33=43, Resulting Numbers: [43] 43,97 unequal: No Solution Moving to Node #0,3,1 Current State: 97:[94, 15], Operations: ['76+27=103', '103-88=15'] Exploring Operation: 9415=1410, Resulting Numbers: [1410] 1410,97 unequal: No Solution Exploring Operation: 94-15=79, Resulting Numbers: [79] 79,97 unequal: No Solution Exploring Operation: 94+15=109, Resulting Numbers: [109] 109,97 unequal: No Solution Moving to Node #0,0,0 Current State: 97:[115, 170], Operations: ['88+27=115', '76+94=170'] Exploring Operation: 170-115=55, Resulting Numbers: [55] 55,97 unequal: No Solution Exploring Operation: 115170=19550, Resulting Numbers: [19550] 19550,97 unequal: No Solution Exploring Operation: 115+170=285, Resulting Numbers: [285] 285,97 unequal: No Solution Moving to Node #0,1,3 Current State: 97:[121, 164], Operations: ['94+27=121', '76+88=164'] Exploring Operation: 121+164=285, Resulting Numbers: [285] 285,97 unequal: No Solution Exploring Operation: 121164=19844, Resulting Numbers: [19844] 19844,97 unequal: No Solution Exploring Operation: 164-121=43, Resulting Numbers: [43] 43,97 unequal: No Solution Moving to Node #0,3,2 Current State: 97:[103, 182], Operations: ['76+27=103', '88+94=182'] Exploring Operation: 103*182=18746, Resulting Numbers: [18746] 18746,97 unequal: No Solution Exploring Operation: 182-103=79, Resulting Numbers: [79] 79,97 unequal: No Solution Exploring Operation: 103+182=285, Resulting Numbers: [285] 285,97 unequal: No Solution Moving to Node #0,0,1 Current State: 97:[94, 191], Operations: ['88+27=115', '76+115=191'] Exploring Operation: 191-94=97, Resulting Numbers: [97] 97,97 equal: Goal Reached Moving to Node #0 Current State: 97:[76, 88, 94, 27], Operations: [] Exploring Operation: 88+27=115, Resulting Numbers: [76, 94, 115] Generated Node #0,0: 97:[76, 94, 115] Operation: 88+27=115 Moving to Node #0,0 Current State: 97:[76, 94, 115], Operations: ['88+27=115'] Exploring Operation: 76+115=191, Resulting Numbers: [94, 191] Generated Node #0,0,1: 97:[94, 191] Operation: 76+115=191 Moving to Node #0,0,1 Current State: 97:[94, 191], Operations: ['88+27=115', '76+115=191'] Exploring Operation: 191-94=97, Resulting Numbers: [97] 97,97 equal: Goal Reached	0.949653	hs_4	sum_heuristic
[ 50, 72, 64, 96 ]	33	[ "72-50=22", "96*22=2112", "2112/64=33" ]	Current State: 33:[50, 72, 64, 96], Operations: [] Exploring Operation: 72-50=22, Resulting Numbers: [64, 96, 22] Generated Node #2: [64, 96, 22] from Operation: 72-50=22 Current State: 33:[64, 96, 22], Operations: ['72-50=22'] Exploring Operation: 9622=2112, Resulting Numbers: [64, 2112] Generated Node #3: [64, 2112] from Operation: 9622=2112 Current State: 33:[64, 2112], Operations: ['72-50=22', '96*22=2112'] Exploring Operation: 2112/64=33, Resulting Numbers: [33] 33,33 equal: Goal Reached	4	Current State: 33:[50, 72, 64, 96], Operations: [] Exploring Operation: 96-50=46, Resulting Numbers: [72, 64, 46] Generated Node #0,0: 33:[72, 64, 46] Operation: 96-50=46 Exploring Operation: 96-64=32, Resulting Numbers: [50, 72, 32] Generated Node #0,1: 33:[50, 72, 32] Operation: 96-64=32 Exploring Operation: 72-64=8, Resulting Numbers: [50, 96, 8] Generated Node #0,2: 33:[50, 96, 8] Operation: 72-64=8 Exploring Operation: 72-50=22, Resulting Numbers: [64, 96, 22] Generated Node #0,3: 33:[64, 96, 22] Operation: 72-50=22 Exploring Operation: 96-72=24, Resulting Numbers: [50, 64, 24] Generated Node #0,4: 33:[50, 64, 24] Operation: 96-72=24 Moving to Node #0,1 Current State: 33:[50, 72, 32], Operations: ['96-64=32'] Exploring Operation: 50-32=18, Resulting Numbers: [72, 18] Generated Node #0,1,0: 33:[72, 18] Operation: 50-32=18 Exploring Operation: 72+32=104, Resulting Numbers: [50, 104] Generated Node #0,1,1: 33:[50, 104] Operation: 72+32=104 Exploring Operation: 50+32=82, Resulting Numbers: [72, 82] Generated Node #0,1,2: 33:[72, 82] Operation: 50+32=82 Exploring Operation: 72-50=22, Resulting Numbers: [32, 22] Generated Node #0,1,3: 33:[32, 22] Operation: 72-50=22 Exploring Operation: 72-32=40, Resulting Numbers: [50, 40] Generated Node #0,1,4: 33:[50, 40] Operation: 72-32=40 Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 33:[32, 22], Operations: ['96-64=32', '72-50=22'] Exploring Operation: 32+22=54, Resulting Numbers: [54] 54,33 unequal: No Solution Exploring Operation: 3222=704, Resulting Numbers: [704] 704,33 unequal: No Solution Exploring Operation: 32-22=10, Resulting Numbers: [10] 10,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 33:[50, 40], Operations: ['96-64=32', '72-32=40'] Exploring Operation: 5040=2000, Resulting Numbers: [2000] 2000,33 unequal: No Solution Exploring Operation: 50-40=10, Resulting Numbers: [10] 10,33 unequal: No Solution Exploring Operation: 50+40=90, Resulting Numbers: [90] 90,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 33:[72, 18], Operations: ['96-64=32', '50-32=18'] Exploring Operation: 7218=1296, Resulting Numbers: [1296] 1296,33 unequal: No Solution Exploring Operation: 72+18=90, Resulting Numbers: [90] 90,33 unequal: No Solution Exploring Operation: 72-18=54, Resulting Numbers: [54] 54,33 unequal: No Solution Exploring Operation: 72/18=4, Resulting Numbers: [4] 4,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 33:[50, 104], Operations: ['96-64=32', '72+32=104'] Exploring Operation: 50104=5200, Resulting Numbers: [5200] 5200,33 unequal: No Solution Exploring Operation: 104-50=54, Resulting Numbers: [54] 54,33 unequal: No Solution Exploring Operation: 50+104=154, Resulting Numbers: [154] 154,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 33:[72, 82], Operations: ['96-64=32', '50+32=82'] Exploring Operation: 82-72=10, Resulting Numbers: [10] 10,33 unequal: No Solution Exploring Operation: 72+82=154, Resulting Numbers: [154] 154,33 unequal: No Solution Exploring Operation: 7282=5904, Resulting Numbers: [5904] 5904,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,4 Current State: 33:[50, 64, 24], Operations: ['96-72=24'] Exploring Operation: 64-24=40, Resulting Numbers: [50, 40] Generated Node #0,4,0: 33:[50, 40] Operation: 64-24=40 Exploring Operation: 50+24=74, Resulting Numbers: [64, 74] Generated Node #0,4,1: 33:[64, 74] Operation: 50+24=74 Exploring Operation: 64-50=14, Resulting Numbers: [24, 14] Generated Node #0,4,2: 33:[24, 14] Operation: 64-50=14 Exploring Operation: 50-24=26, Resulting Numbers: [64, 26] Generated Node #0,4,3: 33:[64, 26] Operation: 50-24=26 Exploring Operation: 64+24=88, Resulting Numbers: [50, 88] Generated Node #0,4,4: 33:[50, 88] Operation: 64+24=88 Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 33:[24, 14], Operations: ['96-72=24', '64-50=14'] Exploring Operation: 2414=336, Resulting Numbers: [336] 336,33 unequal: No Solution Exploring Operation: 24-14=10, Resulting Numbers: [10] 10,33 unequal: No Solution Exploring Operation: 24+14=38, Resulting Numbers: [38] 38,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 33:[50, 40], Operations: ['96-72=24', '64-24=40'] Exploring Operation: 50+40=90, Resulting Numbers: [90] 90,33 unequal: No Solution Exploring Operation: 50-40=10, Resulting Numbers: [10] 10,33 unequal: No Solution Exploring Operation: 5040=2000, Resulting Numbers: [2000] 2000,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 33:[64, 26], Operations: ['96-72=24', '50-24=26'] Exploring Operation: 64-26=38, Resulting Numbers: [38] 38,33 unequal: No Solution Exploring Operation: 64+26=90, Resulting Numbers: [90] 90,33 unequal: No Solution Exploring Operation: 6426=1664, Resulting Numbers: [1664] 1664,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 33:[64, 74], Operations: ['96-72=24', '50+24=74'] Exploring Operation: 6474=4736, Resulting Numbers: [4736] 4736,33 unequal: No Solution Exploring Operation: 74-64=10, Resulting Numbers: [10] 10,33 unequal: No Solution Exploring Operation: 64+74=138, Resulting Numbers: [138] 138,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 33:[50, 88], Operations: ['96-72=24', '64+24=88'] Exploring Operation: 88-50=38, Resulting Numbers: [38] 38,33 unequal: No Solution Exploring Operation: 5088=4400, Resulting Numbers: [4400] 4400,33 unequal: No Solution Exploring Operation: 50+88=138, Resulting Numbers: [138] 138,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 33:[72, 64, 46], Operations: ['96-50=46'] Exploring Operation: 72+46=118, Resulting Numbers: [64, 118] Generated Node #0,0,0: 33:[64, 118] Operation: 72+46=118 Exploring Operation: 64-46=18, Resulting Numbers: [72, 18] Generated Node #0,0,1: 33:[72, 18] Operation: 64-46=18 Exploring Operation: 72-46=26, Resulting Numbers: [64, 26] Generated Node #0,0,2: 33:[64, 26] Operation: 72-46=26 Exploring Operation: 72+64=136, Resulting Numbers: [46, 136] Generated Node #0,0,3: 33:[46, 136] Operation: 72+64=136 Exploring Operation: 72-64=8, Resulting Numbers: [46, 8] Generated Node #0,0,4: 33:[46, 8] Operation: 72-64=8 Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 33:[46, 8], Operations: ['96-50=46', '72-64=8'] Exploring Operation: 46-8=38, Resulting Numbers: [38] 38,33 unequal: No Solution Exploring Operation: 468=368, Resulting Numbers: [368] 368,33 unequal: No Solution Exploring Operation: 46+8=54, Resulting Numbers: [54] 54,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 33:[64, 26], Operations: ['96-50=46', '72-46=26'] Exploring Operation: 64+26=90, Resulting Numbers: [90] 90,33 unequal: No Solution Exploring Operation: 6426=1664, Resulting Numbers: [1664] 1664,33 unequal: No Solution Exploring Operation: 64-26=38, Resulting Numbers: [38] 38,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 33:[72, 18], Operations: ['96-50=46', '64-46=18'] Exploring Operation: 72/18=4, Resulting Numbers: [4] 4,33 unequal: No Solution Exploring Operation: 72+18=90, Resulting Numbers: [90] 90,33 unequal: No Solution Exploring Operation: 72-18=54, Resulting Numbers: [54] 54,33 unequal: No Solution Exploring Operation: 7218=1296, Resulting Numbers: [1296] 1296,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 33:[64, 118], Operations: ['96-50=46', '72+46=118'] Exploring Operation: 64+118=182, Resulting Numbers: [182] 182,33 unequal: No Solution Exploring Operation: 64118=7552, Resulting Numbers: [7552] 7552,33 unequal: No Solution Exploring Operation: 118-64=54, Resulting Numbers: [54] 54,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 33:[46, 136], Operations: ['96-50=46', '72+64=136'] Exploring Operation: 136-46=90, Resulting Numbers: [90] 90,33 unequal: No Solution Exploring Operation: 46+136=182, Resulting Numbers: [182] 182,33 unequal: No Solution Exploring Operation: 46136=6256, Resulting Numbers: [6256] 6256,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 33:[50, 96, 8], Operations: ['72-64=8'] Exploring Operation: 96-8=88, Resulting Numbers: [50, 88] Generated Node #0,2,0: 33:[50, 88] Operation: 96-8=88 Exploring Operation: 50+8=58, Resulting Numbers: [96, 58] Generated Node #0,2,1: 33:[96, 58] Operation: 50+8=58 Exploring Operation: 96-50=46, Resulting Numbers: [8, 46] Generated Node #0,2,2: 33:[8, 46] Operation: 96-50=46 Exploring Operation: 50-8=42, Resulting Numbers: [96, 42] Generated Node #0,2,3: 33:[96, 42] Operation: 50-8=42 Exploring Operation: 96/8=12, Resulting Numbers: [50, 12] Generated Node #0,2,4: 33:[50, 12] Operation: 96/8=12 Moving to Node #0,3 Current State: 33:[64, 96, 22], Operations: ['72-50=22'] Exploring Operation: 64-22=42, Resulting Numbers: [96, 42] Generated Node #0,3,0: 33:[96, 42] Operation: 64-22=42 Exploring Operation: 96-64=32, Resulting Numbers: [22, 32] Generated Node #0,3,1: 33:[22, 32] Operation: 96-64=32 Exploring Operation: 96-22=74, Resulting Numbers: [64, 74] Generated Node #0,3,2: 33:[64, 74] Operation: 96-22=74 Exploring Operation: 96+22=118, Resulting Numbers: [64, 118] Generated Node #0,3,3: 33:[64, 118] Operation: 96+22=118 Exploring Operation: 64+22=86, Resulting Numbers: [96, 86] Generated Node #0,3,4: 33:[96, 86] Operation: 64+22=86 Moving to Node #0,3,1 Current State: 33:[22, 32], Operations: ['72-50=22', '96-64=32'] Exploring Operation: 32-22=10, Resulting Numbers: [10] 10,33 unequal: No Solution Exploring Operation: 2232=704, Resulting Numbers: [704] 704,33 unequal: No Solution Exploring Operation: 22+32=54, Resulting Numbers: [54] 54,33 unequal: No Solution Moving to Node #0,2,2 Current State: 33:[8, 46], Operations: ['72-64=8', '96-50=46'] Exploring Operation: 8+46=54, Resulting Numbers: [54] 54,33 unequal: No Solution Exploring Operation: 46-8=38, Resulting Numbers: [38] 38,33 unequal: No Solution Exploring Operation: 846=368, Resulting Numbers: [368] 368,33 unequal: No Solution Moving to Node #0,2,4 Current State: 33:[50, 12], Operations: ['72-64=8', '96/8=12'] Exploring Operation: 50+12=62, Resulting Numbers: [62] 62,33 unequal: No Solution Exploring Operation: 5012=600, Resulting Numbers: [600] 600,33 unequal: No Solution Exploring Operation: 50-12=38, Resulting Numbers: [38] 38,33 unequal: No Solution Moving to Node #0,3,0 Current State: 33:[96, 42], Operations: ['72-50=22', '64-22=42'] Exploring Operation: 96+42=138, Resulting Numbers: [138] 138,33 unequal: No Solution Exploring Operation: 9642=4032, Resulting Numbers: [4032] 4032,33 unequal: No Solution Exploring Operation: 96-42=54, Resulting Numbers: [54] 54,33 unequal: No Solution Moving to Node #0,2,0 Current State: 33:[50, 88], Operations: ['72-64=8', '96-8=88'] Exploring Operation: 88-50=38, Resulting Numbers: [38] 38,33 unequal: No Solution Exploring Operation: 5088=4400, Resulting Numbers: [4400] 4400,33 unequal: No Solution Exploring Operation: 50+88=138, Resulting Numbers: [138] 138,33 unequal: No Solution Moving to Node #0,2,3 Current State: 33:[96, 42], Operations: ['72-64=8', '50-8=42'] Exploring Operation: 96-42=54, Resulting Numbers: [54] 54,33 unequal: No Solution Exploring Operation: 96+42=138, Resulting Numbers: [138] 138,33 unequal: No Solution Exploring Operation: 9642=4032, Resulting Numbers: [4032] 4032,33 unequal: No Solution Moving to Node #0,3,2 Current State: 33:[64, 74], Operations: ['72-50=22', '96-22=74'] Exploring Operation: 6474=4736, Resulting Numbers: [4736] 4736,33 unequal: No Solution Exploring Operation: 64+74=138, Resulting Numbers: [138] 138,33 unequal: No Solution Exploring Operation: 74-64=10, Resulting Numbers: [10] 10,33 unequal: No Solution Moving to Node #0,2,1 Current State: 33:[96, 58], Operations: ['72-64=8', '50+8=58'] Exploring Operation: 96-58=38, Resulting Numbers: [38] 38,33 unequal: No Solution Exploring Operation: 96+58=154, Resulting Numbers: [154] 154,33 unequal: No Solution Exploring Operation: 9658=5568, Resulting Numbers: [5568] 5568,33 unequal: No Solution Moving to Node #0,3,4 Current State: 33:[96, 86], Operations: ['72-50=22', '64+22=86'] Exploring Operation: 96-86=10, Resulting Numbers: [10] 10,33 unequal: No Solution Exploring Operation: 96+86=182, Resulting Numbers: [182] 182,33 unequal: No Solution Exploring Operation: 9686=8256, Resulting Numbers: [8256] 8256,33 unequal: No Solution Moving to Node #0,3,3 Current State: 33:[64, 118], Operations: ['72-50=22', '96+22=118'] Exploring Operation: 64+118=182, Resulting Numbers: [182] 182,33 unequal: No Solution Exploring Operation: 118-64=54, Resulting Numbers: [54] 54,33 unequal: No Solution Exploring Operation: 64*118=7552, Resulting Numbers: [7552] 7552,33 unequal: No Solution No solution found.	0	hs_5	sum_heuristic
[ 16, 14, 13, 17 ]	26	[ "16+14=30", "17-13=4", "30-4=26" ]	Current State: 26:[16, 14, 13, 17], Operations: [] Exploring Operation: 16+14=30, Resulting Numbers: [13, 17, 30] Generated Node #2: [13, 17, 30] from Operation: 16+14=30 Current State: 26:[13, 17, 30], Operations: ['16+14=30'] Exploring Operation: 17-13=4, Resulting Numbers: [30, 4] Generated Node #3: [30, 4] from Operation: 17-13=4 Current State: 26:[30, 4], Operations: ['16+14=30', '17-13=4'] Exploring Operation: 30-4=26, Resulting Numbers: [26] 26,26 equal: Goal Reached	4	Current State: 26:[16, 14, 13, 17], Operations: [] Exploring Operation: 16-14=2, Resulting Numbers: [13, 17, 2] Generated Node #0,0: 26:[13, 17, 2] Operation: 16-14=2 Exploring Operation: 17-16=1, Resulting Numbers: [14, 13, 1] Generated Node #0,1: 26:[14, 13, 1] Operation: 17-16=1 Moving to Node #0,1 Current State: 26:[14, 13, 1], Operations: ['17-16=1'] Exploring Operation: 14-1=13, Resulting Numbers: [13, 13] Generated Node #0,1,0: 26:[13, 13] Operation: 14-1=13 Exploring Operation: 141=14, Resulting Numbers: [13, 14] Generated Node #0,1,1: 26:[13, 14] Operation: 141=14 Moving to Node #0,0 Current State: 26:[13, 17, 2], Operations: ['16-14=2'] Exploring Operation: 17-2=15, Resulting Numbers: [13, 15] Generated Node #0,0,0: 26:[13, 15] Operation: 17-2=15 Exploring Operation: 17-13=4, Resulting Numbers: [2, 4] Generated Node #0,0,1: 26:[2, 4] Operation: 17-13=4 Moving to Node #0,1,0 Current State: 26:[13, 13], Operations: ['17-16=1', '14-1=13'] Exploring Operation: 13+13=26, Resulting Numbers: [26] 26,26 equal: Goal Reached Moving to Node #0 Current State: 26:[16, 14, 13, 17], Operations: [] Exploring Operation: 17-16=1, Resulting Numbers: [14, 13, 1] Generated Node #0,1: 26:[14, 13, 1] Operation: 17-16=1 Moving to Node #0,1 Current State: 26:[14, 13, 1], Operations: ['17-16=1'] Exploring Operation: 14-1=13, Resulting Numbers: [13, 13] Generated Node #0,1,0: 26:[13, 13] Operation: 14-1=13 Moving to Node #0,1,0 Current State: 26:[13, 13], Operations: ['17-16=1', '14-1=13'] Exploring Operation: 13+13=26, Resulting Numbers: [26] 26,26 equal: Goal Reached	0.990451	hs_2	mult_heuristic
[ 87, 1, 4, 91 ]	15	[ "91-87=4", "4*4=16", "16-1=15" ]	Current State: 15:[87, 1, 4, 91], Operations: [] Exploring Operation: 91-87=4, Resulting Numbers: [1, 4, 4] Generated Node #2: [1, 4, 4] from Operation: 91-87=4 Current State: 15:[1, 4, 4], Operations: ['91-87=4'] Exploring Operation: 44=16, Resulting Numbers: [1, 16] Generated Node #3: [1, 16] from Operation: 44=16 Current State: 15:[1, 16], Operations: ['91-87=4', '4*4=16'] Exploring Operation: 16-1=15, Resulting Numbers: [15] 15,15 equal: Goal Reached	4	Current State: 15:[87, 1, 4, 91], Operations: [] Exploring Operation: 87-4=83, Resulting Numbers: [1, 91, 83] Generated Node #0,0: 15:[1, 91, 83] Operation: 87-4=83 Exploring Operation: 91-87=4, Resulting Numbers: [1, 4, 4] Generated Node #0,1: 15:[1, 4, 4] Operation: 91-87=4 Exploring Operation: 87-1=86, Resulting Numbers: [4, 91, 86] Generated Node #0,2: 15:[4, 91, 86] Operation: 87-1=86 Exploring Operation: 91-4=87, Resulting Numbers: [87, 1, 87] Generated Node #0,3: 15:[87, 1, 87] Operation: 91-4=87 Moving to Node #0,1 Current State: 15:[1, 4, 4], Operations: ['91-87=4'] Exploring Operation: 1+4=5, Resulting Numbers: [4, 5] Generated Node #0,1,0: 15:[4, 5] Operation: 1+4=5 Exploring Operation: 4-1=3, Resulting Numbers: [4, 3] Generated Node #0,1,1: 15:[4, 3] Operation: 4-1=3 Exploring Operation: 1+4=5, Resulting Numbers: [4, 5] Generated Node #0,1,2: 15:[4, 5] Operation: 1+4=5 Exploring Operation: 4-1=3, Resulting Numbers: [4, 3] Generated Node #0,1,3: 15:[4, 3] Operation: 4-1=3 Moving to Node #0,3 Current State: 15:[87, 1, 87], Operations: ['91-4=87'] Exploring Operation: 87-87=0, Resulting Numbers: [1, 0] Generated Node #0,3,0: 15:[1, 0] Operation: 87-87=0 Exploring Operation: 87/87=1, Resulting Numbers: [1, 1] Generated Node #0,3,1: 15:[1, 1] Operation: 87/87=1 Exploring Operation: 87-1=86, Resulting Numbers: [87, 86] Generated Node #0,3,2: 15:[87, 86] Operation: 87-1=86 Exploring Operation: 87-1=86, Resulting Numbers: [87, 86] Generated Node #0,3,3: 15:[87, 86] Operation: 87-1=86 Moving to Node #0,0 Current State: 15:[1, 91, 83], Operations: ['87-4=83'] Exploring Operation: 91-1=90, Resulting Numbers: [83, 90] Generated Node #0,0,0: 15:[83, 90] Operation: 91-1=90 Exploring Operation: 191=91, Resulting Numbers: [83, 91] Generated Node #0,0,1: 15:[83, 91] Operation: 191=91 Exploring Operation: 83-1=82, Resulting Numbers: [91, 82] Generated Node #0,0,2: 15:[91, 82] Operation: 83-1=82 Exploring Operation: 91-83=8, Resulting Numbers: [1, 8] Generated Node #0,0,3: 15:[1, 8] Operation: 91-83=8 Moving to Node #0,2 Current State: 15:[4, 91, 86], Operations: ['87-1=86'] Exploring Operation: 91-4=87, Resulting Numbers: [86, 87] Generated Node #0,2,0: 15:[86, 87] Operation: 91-4=87 Exploring Operation: 91-86=5, Resulting Numbers: [4, 5] Generated Node #0,2,1: 15:[4, 5] Operation: 91-86=5 Exploring Operation: 86-4=82, Resulting Numbers: [91, 82] Generated Node #0,2,2: 15:[91, 82] Operation: 86-4=82 Exploring Operation: 4+91=95, Resulting Numbers: [86, 95] Generated Node #0,2,3: 15:[86, 95] Operation: 4+91=95 Moving to Node #0,1,0 Current State: 15:[4, 5], Operations: ['91-87=4', '1+4=5'] Exploring Operation: 4+5=9, Resulting Numbers: [9] 9,15 unequal: No Solution Exploring Operation: 45=20, Resulting Numbers: [20] 20,15 unequal: No Solution Exploring Operation: 5-4=1, Resulting Numbers: [1] 1,15 unequal: No Solution Moving to Node #0,1,2 Current State: 15:[4, 5], Operations: ['91-87=4', '1+4=5'] Exploring Operation: 45=20, Resulting Numbers: [20] 20,15 unequal: No Solution Exploring Operation: 5-4=1, Resulting Numbers: [1] 1,15 unequal: No Solution Exploring Operation: 4+5=9, Resulting Numbers: [9] 9,15 unequal: No Solution Moving to Node #0,2,1 Current State: 15:[4, 5], Operations: ['87-1=86', '91-86=5'] Exploring Operation: 4+5=9, Resulting Numbers: [9] 9,15 unequal: No Solution Exploring Operation: 5-4=1, Resulting Numbers: [1] 1,15 unequal: No Solution Exploring Operation: 45=20, Resulting Numbers: [20] 20,15 unequal: No Solution Moving to Node #0,1,1 Current State: 15:[4, 3], Operations: ['91-87=4', '4-1=3'] Exploring Operation: 4-3=1, Resulting Numbers: [1] 1,15 unequal: No Solution Exploring Operation: 4+3=7, Resulting Numbers: [7] 7,15 unequal: No Solution Exploring Operation: 43=12, Resulting Numbers: [12] 12,15 unequal: No Solution Moving to Node #0,1,3 Current State: 15:[4, 3], Operations: ['91-87=4', '4-1=3'] Exploring Operation: 43=12, Resulting Numbers: [12] 12,15 unequal: No Solution Exploring Operation: 4-3=1, Resulting Numbers: [1] 1,15 unequal: No Solution Exploring Operation: 4+3=7, Resulting Numbers: [7] 7,15 unequal: No Solution Moving to Node #0,3,1 Current State: 15:[1, 1], Operations: ['91-4=87', '87/87=1'] Exploring Operation: 11=1, Resulting Numbers: [1] 1,15 unequal: No Solution Exploring Operation: 1+1=2, Resulting Numbers: [2] 2,15 unequal: No Solution Exploring Operation: 1/1=1, Resulting Numbers: [1] 1,15 unequal: No Solution Exploring Operation: 1-1=0, Resulting Numbers: [0] 0,15 unequal: No Solution Moving to Node #0,3,0 Current State: 15:[1, 0], Operations: ['91-4=87', '87-87=0'] Exploring Operation: 1-0=1, Resulting Numbers: [1] 1,15 unequal: No Solution Exploring Operation: 1+0=1, Resulting Numbers: [1] 1,15 unequal: No Solution Exploring Operation: 10=0, Resulting Numbers: [0] 0,15 unequal: No Solution Moving to Node #0,0,3 Current State: 15:[1, 8], Operations: ['87-4=83', '91-83=8'] Exploring Operation: 18=8, Resulting Numbers: [8] 8,15 unequal: No Solution Exploring Operation: 8-1=7, Resulting Numbers: [7] 7,15 unequal: No Solution Exploring Operation: 1+8=9, Resulting Numbers: [9] 9,15 unequal: No Solution Exploring Operation: 8/1=8, Resulting Numbers: [8] 8,15 unequal: No Solution Moving to Node #0,3,2 Current State: 15:[87, 86], Operations: ['91-4=87', '87-1=86'] Exploring Operation: 8786=7482, Resulting Numbers: [7482] 7482,15 unequal: No Solution Exploring Operation: 87-86=1, Resulting Numbers: [1] 1,15 unequal: No Solution Exploring Operation: 87+86=173, Resulting Numbers: [173] 173,15 unequal: No Solution Moving to Node #0,2,2 Current State: 15:[91, 82], Operations: ['87-1=86', '86-4=82'] Exploring Operation: 91-82=9, Resulting Numbers: [9] 9,15 unequal: No Solution Exploring Operation: 9182=7462, Resulting Numbers: [7462] 7462,15 unequal: No Solution Exploring Operation: 91+82=173, Resulting Numbers: [173] 173,15 unequal: No Solution Moving to Node #0,3,3 Current State: 15:[87, 86], Operations: ['91-4=87', '87-1=86'] Exploring Operation: 8786=7482, Resulting Numbers: [7482] 7482,15 unequal: No Solution Exploring Operation: 87+86=173, Resulting Numbers: [173] 173,15 unequal: No Solution Exploring Operation: 87-86=1, Resulting Numbers: [1] 1,15 unequal: No Solution Moving to Node #0,0,2 Current State: 15:[91, 82], Operations: ['87-4=83', '83-1=82'] Exploring Operation: 9182=7462, Resulting Numbers: [7462] 7462,15 unequal: No Solution Exploring Operation: 91+82=173, Resulting Numbers: [173] 173,15 unequal: No Solution Exploring Operation: 91-82=9, Resulting Numbers: [9] 9,15 unequal: No Solution Moving to Node #0,0,0 Current State: 15:[83, 90], Operations: ['87-4=83', '91-1=90'] Exploring Operation: 90-83=7, Resulting Numbers: [7] 7,15 unequal: No Solution Exploring Operation: 83+90=173, Resulting Numbers: [173] 173,15 unequal: No Solution Exploring Operation: 8390=7470, Resulting Numbers: [7470] 7470,15 unequal: No Solution Moving to Node #0,2,0 Current State: 15:[86, 87], Operations: ['87-1=86', '91-4=87'] Exploring Operation: 8687=7482, Resulting Numbers: [7482] 7482,15 unequal: No Solution Exploring Operation: 86+87=173, Resulting Numbers: [173] 173,15 unequal: No Solution Exploring Operation: 87-86=1, Resulting Numbers: [1] 1,15 unequal: No Solution Moving to Node #0,0,1 Current State: 15:[83, 91], Operations: ['87-4=83', '191=91'] Exploring Operation: 91-83=8, Resulting Numbers: [8] 8,15 unequal: No Solution Exploring Operation: 8391=7553, Resulting Numbers: [7553] 7553,15 unequal: No Solution Exploring Operation: 83+91=174, Resulting Numbers: [174] 174,15 unequal: No Solution Moving to Node #0,2,3 Current State: 15:[86, 95], Operations: ['87-1=86', '4+91=95'] Exploring Operation: 86*95=8170, Resulting Numbers: [8170] 8170,15 unequal: No Solution Exploring Operation: 95-86=9, Resulting Numbers: [9] 9,15 unequal: No Solution Exploring Operation: 86+95=181, Resulting Numbers: [181] 181,15 unequal: No Solution No solution found.	0	hs_4	sum_heuristic
[ 5, 34, 18, 74 ]	53	[ "5+34=39", "18+74=92", "92-39=53" ]	Current State: 53:[5, 34, 18, 74], Operations: [] Exploring Operation: 5+34=39, Resulting Numbers: [18, 74, 39] Generated Node #2: [18, 74, 39] from Operation: 5+34=39 Current State: 53:[18, 74, 39], Operations: ['5+34=39'] Exploring Operation: 18+74=92, Resulting Numbers: [39, 92] Generated Node #3: [39, 92] from Operation: 18+74=92 Current State: 53:[39, 92], Operations: ['5+34=39', '18+74=92'] Exploring Operation: 92-39=53, Resulting Numbers: [53] 53,53 equal: Goal Reached	4	Current State: 53:[5, 34, 18, 74], Operations: [] Exploring Operation: 5+34=39, Resulting Numbers: [18, 74, 39] Generated Node #0,0: 53:[18, 74, 39] Operation: 5+34=39 Start Sub Search at level 1: Moving to Node #0,0 Current State: 53:[18, 74, 39], Operations: ['5+34=39'] Exploring Operation: 74-18=56, Resulting Numbers: [39, 56] Generated Node #0,0,0: 53:[39, 56] Operation: 74-18=56 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 53:[39, 56], Operations: ['5+34=39', '74-18=56'] Exploring Operation: 56-39=17, Resulting Numbers: [17] 17,53 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	sum_heuristic
[ 52, 10, 69, 43 ]	70	[ "52-10=42", "69+43=112", "112-42=70" ]	Current State: 70:[52, 10, 69, 43], Operations: [] Exploring Operation: 52-10=42, Resulting Numbers: [69, 43, 42] Generated Node #2: [69, 43, 42] from Operation: 52-10=42 Current State: 70:[69, 43, 42], Operations: ['52-10=42'] Exploring Operation: 69+43=112, Resulting Numbers: [42, 112] Generated Node #3: [42, 112] from Operation: 69+43=112 Current State: 70:[42, 112], Operations: ['52-10=42', '69+43=112'] Exploring Operation: 112-42=70, Resulting Numbers: [70] 70,70 equal: Goal Reached	4	Current State: 70:[52, 10, 69, 43], Operations: [] Exploring Operation: 52-43=9, Resulting Numbers: [10, 69, 9] Generated Node #0,0: 70:[10, 69, 9] Operation: 52-43=9 Start Sub Search at level 1: Moving to Node #0,0 Current State: 70:[10, 69, 9], Operations: ['52-43=9'] Exploring Operation: 10-9=1, Resulting Numbers: [69, 1] Generated Node #0,0,0: 70:[69, 1] Operation: 10-9=1 Moving to Node #0,0,0 Current State: 70:[69, 1], Operations: ['52-43=9', '10-9=1'] Exploring Operation: 69+1=70, Resulting Numbers: [70] 70,70 equal: Goal Reached Moving to Node #0 Current State: 70:[52, 10, 69, 43], Operations: [] Exploring Operation: 52-43=9, Resulting Numbers: [10, 69, 9] Generated Node #0,0: 70:[10, 69, 9] Operation: 52-43=9 Moving to Node #0,0 Current State: 70:[10, 69, 9], Operations: ['52-43=9'] Exploring Operation: 10-9=1, Resulting Numbers: [69, 1] Generated Node #0,0,0: 70:[69, 1] Operation: 10-9=1 Moving to Node #0,0,0 Current State: 70:[69, 1], Operations: ['52-43=9', '10-9=1'] Exploring Operation: 69+1=70, Resulting Numbers: [70] 70,70 equal: Goal Reached Exit Sub Search at level 1	0.993924	hs_1	sum_heuristic
[ 86, 57, 30, 9 ]	89	[ "57-30=27", "27/9=3", "86+3=89" ]	Current State: 89:[86, 57, 30, 9], Operations: [] Exploring Operation: 57-30=27, Resulting Numbers: [86, 9, 27] Generated Node #2: [86, 9, 27] from Operation: 57-30=27 Current State: 89:[86, 9, 27], Operations: ['57-30=27'] Exploring Operation: 27/9=3, Resulting Numbers: [86, 3] Generated Node #3: [86, 3] from Operation: 27/9=3 Current State: 89:[86, 3], Operations: ['57-30=27', '27/9=3'] Exploring Operation: 86+3=89, Resulting Numbers: [89] 89,89 equal: Goal Reached	4	Current State: 89:[86, 57, 30, 9], Operations: [] Exploring Operation: 86+9=95, Resulting Numbers: [57, 30, 95] Generated Node #0,0: 89:[57, 30, 95] Operation: 86+9=95 Exploring Operation: 57+30=87, Resulting Numbers: [86, 9, 87] Generated Node #0,1: 89:[86, 9, 87] Operation: 57+30=87 Exploring Operation: 30+9=39, Resulting Numbers: [86, 57, 39] Generated Node #0,2: 89:[86, 57, 39] Operation: 30+9=39 Exploring Operation: 57+9=66, Resulting Numbers: [86, 30, 66] Generated Node #0,3: 89:[86, 30, 66] Operation: 57+9=66 Moving to Node #0,1 Current State: 89:[86, 9, 87], Operations: ['57+30=87'] Exploring Operation: 87-9=78, Resulting Numbers: [86, 78] Generated Node #0,1,0: 89:[86, 78] Operation: 87-9=78 Exploring Operation: 9+87=96, Resulting Numbers: [86, 96] Generated Node #0,1,1: 89:[86, 96] Operation: 9+87=96 Exploring Operation: 86+9=95, Resulting Numbers: [87, 95] Generated Node #0,1,2: 89:[87, 95] Operation: 86+9=95 Exploring Operation: 86-9=77, Resulting Numbers: [87, 77] Generated Node #0,1,3: 89:[87, 77] Operation: 86-9=77 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 89:[87, 95], Operations: ['57+30=87', '86+9=95'] Exploring Operation: 8795=8265, Resulting Numbers: [8265] 8265,89 unequal: No Solution Exploring Operation: 95-87=8, Resulting Numbers: [8] 8,89 unequal: No Solution Exploring Operation: 87+95=182, Resulting Numbers: [182] 182,89 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 89:[86, 96], Operations: ['57+30=87', '9+87=96'] Exploring Operation: 86+96=182, Resulting Numbers: [182] 182,89 unequal: No Solution Exploring Operation: 96-86=10, Resulting Numbers: [10] 10,89 unequal: No Solution Exploring Operation: 8696=8256, Resulting Numbers: [8256] 8256,89 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 89:[86, 78], Operations: ['57+30=87', '87-9=78'] Exploring Operation: 86+78=164, Resulting Numbers: [164] 164,89 unequal: No Solution Exploring Operation: 86-78=8, Resulting Numbers: [8] 8,89 unequal: No Solution Exploring Operation: 8678=6708, Resulting Numbers: [6708] 6708,89 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 89:[87, 77], Operations: ['57+30=87', '86-9=77'] Exploring Operation: 87-77=10, Resulting Numbers: [10] 10,89 unequal: No Solution Exploring Operation: 8777=6699, Resulting Numbers: [6699] 6699,89 unequal: No Solution Exploring Operation: 87+77=164, Resulting Numbers: [164] 164,89 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 89:[86, 30, 66], Operations: ['57+9=66'] Exploring Operation: 30+66=96, Resulting Numbers: [86, 96] Generated Node #0,3,0: 89:[86, 96] Operation: 30+66=96 Exploring Operation: 86+30=116, Resulting Numbers: [66, 116] Generated Node #0,3,1: 89:[66, 116] Operation: 86+30=116 Exploring Operation: 86-30=56, Resulting Numbers: [66, 56] Generated Node #0,3,2: 89:[66, 56] Operation: 86-30=56 Exploring Operation: 66-30=36, Resulting Numbers: [86, 36] Generated Node #0,3,3: 89:[86, 36] Operation: 66-30=36 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 89:[86, 96], Operations: ['57+9=66', '30+66=96'] Exploring Operation: 8696=8256, Resulting Numbers: [8256] 8256,89 unequal: No Solution Exploring Operation: 96-86=10, Resulting Numbers: [10] 10,89 unequal: No Solution Exploring Operation: 86+96=182, Resulting Numbers: [182] 182,89 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 89:[66, 116], Operations: ['57+9=66', '86+30=116'] Exploring Operation: 66116=7656, Resulting Numbers: [7656] 7656,89 unequal: No Solution Exploring Operation: 66+116=182, Resulting Numbers: [182] 182,89 unequal: No Solution Exploring Operation: 116-66=50, Resulting Numbers: [50] 50,89 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 89:[66, 56], Operations: ['57+9=66', '86-30=56'] Exploring Operation: 6656=3696, Resulting Numbers: [3696] 3696,89 unequal: No Solution Exploring Operation: 66-56=10, Resulting Numbers: [10] 10,89 unequal: No Solution Exploring Operation: 66+56=122, Resulting Numbers: [122] 122,89 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 89:[86, 36], Operations: ['57+9=66', '66-30=36'] Exploring Operation: 86-36=50, Resulting Numbers: [50] 50,89 unequal: No Solution Exploring Operation: 8636=3096, Resulting Numbers: [3096] 3096,89 unequal: No Solution Exploring Operation: 86+36=122, Resulting Numbers: [122] 122,89 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 89:[86, 57, 39], Operations: ['30+9=39'] Exploring Operation: 86+39=125, Resulting Numbers: [57, 125] Generated Node #0,2,0: 89:[57, 125] Operation: 86+39=125 Exploring Operation: 86-39=47, Resulting Numbers: [57, 47] Generated Node #0,2,1: 89:[57, 47] Operation: 86-39=47 Exploring Operation: 57+39=96, Resulting Numbers: [86, 96] Generated Node #0,2,2: 89:[86, 96] Operation: 57+39=96 Exploring Operation: 57-39=18, Resulting Numbers: [86, 18] Generated Node #0,2,3: 89:[86, 18] Operation: 57-39=18 Moving to Node #0,0 Current State: 89:[57, 30, 95], Operations: ['86+9=95'] Exploring Operation: 57+30=87, Resulting Numbers: [95, 87] Generated Node #0,0,0: 89:[95, 87] Operation: 57+30=87 Exploring Operation: 30+95=125, Resulting Numbers: [57, 125] Generated Node #0,0,1: 89:[57, 125] Operation: 30+95=125 Exploring Operation: 95-30=65, Resulting Numbers: [57, 65] Generated Node #0,0,2: 89:[57, 65] Operation: 95-30=65 Exploring Operation: 57-30=27, Resulting Numbers: [95, 27] Generated Node #0,0,3: 89:[95, 27] Operation: 57-30=27 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 89:[95, 87], Operations: ['86+9=95', '57+30=87'] Exploring Operation: 95-87=8, Resulting Numbers: [8] 8,89 unequal: No Solution Exploring Operation: 95+87=182, Resulting Numbers: [182] 182,89 unequal: No Solution Exploring Operation: 9587=8265, Resulting Numbers: [8265] 8265,89 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 89:[57, 65], Operations: ['86+9=95', '95-30=65'] Exploring Operation: 5765=3705, Resulting Numbers: [3705] 3705,89 unequal: No Solution Exploring Operation: 65-57=8, Resulting Numbers: [8] 8,89 unequal: No Solution Exploring Operation: 57+65=122, Resulting Numbers: [122] 122,89 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 89:[57, 125], Operations: ['86+9=95', '30+95=125'] Exploring Operation: 125-57=68, Resulting Numbers: [68] 68,89 unequal: No Solution Exploring Operation: 57+125=182, Resulting Numbers: [182] 182,89 unequal: No Solution Exploring Operation: 57125=7125, Resulting Numbers: [7125] 7125,89 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 89:[95, 27], Operations: ['86+9=95', '57-30=27'] Exploring Operation: 95+27=122, Resulting Numbers: [122] 122,89 unequal: No Solution Exploring Operation: 9527=2565, Resulting Numbers: [2565] 2565,89 unequal: No Solution Exploring Operation: 95-27=68, Resulting Numbers: [68] 68,89 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2,2 Current State: 89:[86, 96], Operations: ['30+9=39', '57+39=96'] Exploring Operation: 96-86=10, Resulting Numbers: [10] 10,89 unequal: No Solution Exploring Operation: 8696=8256, Resulting Numbers: [8256] 8256,89 unequal: No Solution Exploring Operation: 86+96=182, Resulting Numbers: [182] 182,89 unequal: No Solution Moving to Node #0,2,0 Current State: 89:[57, 125], Operations: ['30+9=39', '86+39=125'] Exploring Operation: 125-57=68, Resulting Numbers: [68] 68,89 unequal: No Solution Exploring Operation: 57+125=182, Resulting Numbers: [182] 182,89 unequal: No Solution Exploring Operation: 57125=7125, Resulting Numbers: [7125] 7125,89 unequal: No Solution Moving to Node #0,2,3 Current State: 89:[86, 18], Operations: ['30+9=39', '57-39=18'] Exploring Operation: 8618=1548, Resulting Numbers: [1548] 1548,89 unequal: No Solution Exploring Operation: 86+18=104, Resulting Numbers: [104] 104,89 unequal: No Solution Exploring Operation: 86-18=68, Resulting Numbers: [68] 68,89 unequal: No Solution Moving to Node #0,2,1 Current State: 89:[57, 47], Operations: ['30+9=39', '86-39=47'] Exploring Operation: 57-47=10, Resulting Numbers: [10] 10,89 unequal: No Solution Exploring Operation: 57+47=104, Resulting Numbers: [104] 104,89 unequal: No Solution Exploring Operation: 5747=2679, Resulting Numbers: [2679] 2679,89 unequal: No Solution No solution found.	0	hs_4	sum_heuristic
[ 35, 29, 31, 2 ]	31	[ "35+29=64", "31+2=33", "64-33=31" ]	Current State: 31:[35, 29, 31, 2], Operations: [] Exploring Operation: 35+29=64, Resulting Numbers: [31, 2, 64] Generated Node #2: [31, 2, 64] from Operation: 35+29=64 Current State: 31:[31, 2, 64], Operations: ['35+29=64'] Exploring Operation: 31+2=33, Resulting Numbers: [64, 33] Generated Node #3: [64, 33] from Operation: 31+2=33 Current State: 31:[64, 33], Operations: ['35+29=64', '31+2=33'] Exploring Operation: 64-33=31, Resulting Numbers: [31] 31,31 equal: Goal Reached	4	Current State: 31:[35, 29, 31, 2], Operations: [] Exploring Operation: 29-2=27, Resulting Numbers: [35, 31, 27] Generated Node #0,0: 31:[35, 31, 27] Operation: 29-2=27 Exploring Operation: 29+2=31, Resulting Numbers: [35, 31, 31] Generated Node #0,1: 31:[35, 31, 31] Operation: 29+2=31 Exploring Operation: 35+2=37, Resulting Numbers: [29, 31, 37] Generated Node #0,2: 31:[29, 31, 37] Operation: 35+2=37 Exploring Operation: 35-2=33, Resulting Numbers: [29, 31, 33] Generated Node #0,3: 31:[29, 31, 33] Operation: 35-2=33 Start Sub Search at level 1: Moving to Node #0,1 Current State: 31:[35, 31, 31], Operations: ['29+2=31'] Exploring Operation: 35-31=4, Resulting Numbers: [31, 4] Generated Node #0,1,0: 31:[31, 4] Operation: 35-31=4 Exploring Operation: 31/31=1, Resulting Numbers: [35, 1] Generated Node #0,1,1: 31:[35, 1] Operation: 31/31=1 Exploring Operation: 35+31=66, Resulting Numbers: [31, 66] Generated Node #0,1,2: 31:[31, 66] Operation: 35+31=66 Exploring Operation: 35-31=4, Resulting Numbers: [31, 4] Generated Node #0,1,3: 31:[31, 4] Operation: 35-31=4 Moving to Node #0,1,0 Current State: 31:[31, 4], Operations: ['29+2=31', '35-31=4'] Exploring Operation: 314=124, Resulting Numbers: [124] 124,31 unequal: No Solution Exploring Operation: 31-4=27, Resulting Numbers: [27] 27,31 unequal: No Solution Exploring Operation: 31+4=35, Resulting Numbers: [35] 35,31 unequal: No Solution Moving to Node #0,1,3 Current State: 31:[31, 4], Operations: ['29+2=31', '35-31=4'] Exploring Operation: 31+4=35, Resulting Numbers: [35] 35,31 unequal: No Solution Exploring Operation: 31-4=27, Resulting Numbers: [27] 27,31 unequal: No Solution Exploring Operation: 314=124, Resulting Numbers: [124] 124,31 unequal: No Solution Moving to Node #0,1,1 Current State: 31:[35, 1], Operations: ['29+2=31', '31/31=1'] Exploring Operation: 35/1=35, Resulting Numbers: [35] 35,31 unequal: No Solution Exploring Operation: 35+1=36, Resulting Numbers: [36] 36,31 unequal: No Solution Exploring Operation: 35-1=34, Resulting Numbers: [34] 34,31 unequal: No Solution Exploring Operation: 351=35, Resulting Numbers: [35] 35,31 unequal: No Solution Moving to Node #0,1,2 Current State: 31:[31, 66], Operations: ['29+2=31', '35+31=66'] Exploring Operation: 66-31=35, Resulting Numbers: [35] 35,31 unequal: No Solution Exploring Operation: 31+66=97, Resulting Numbers: [97] 97,31 unequal: No Solution Exploring Operation: 3166=2046, Resulting Numbers: [2046] 2046,31 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 31:[29, 31, 33], Operations: ['35-2=33'] Exploring Operation: 31-29=2, Resulting Numbers: [33, 2] Generated Node #0,3,0: 31:[33, 2] Operation: 31-29=2 Exploring Operation: 29+33=62, Resulting Numbers: [31, 62] Generated Node #0,3,1: 31:[31, 62] Operation: 29+33=62 Exploring Operation: 29+31=60, Resulting Numbers: [33, 60] Generated Node #0,3,2: 31:[33, 60] Operation: 29+31=60 Exploring Operation: 33-29=4, Resulting Numbers: [31, 4] Generated Node #0,3,3: 31:[31, 4] Operation: 33-29=4 Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 31:[31, 4], Operations: ['35-2=33', '33-29=4'] Exploring Operation: 314=124, Resulting Numbers: [124] 124,31 unequal: No Solution Exploring Operation: 31+4=35, Resulting Numbers: [35] 35,31 unequal: No Solution Exploring Operation: 31-4=27, Resulting Numbers: [27] 27,31 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 31:[33, 2], Operations: ['35-2=33', '31-29=2'] Exploring Operation: 33+2=35, Resulting Numbers: [35] 35,31 unequal: No Solution Exploring Operation: 332=66, Resulting Numbers: [66] 66,31 unequal: No Solution Exploring Operation: 33-2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached Moving to Node #0 Current State: 31:[35, 29, 31, 2], Operations: [] Exploring Operation: 35-2=33, Resulting Numbers: [29, 31, 33] Generated Node #0,3: 31:[29, 31, 33] Operation: 35-2=33 Moving to Node #0,3 Current State: 31:[29, 31, 33], Operations: ['35-2=33'] Exploring Operation: 31-29=2, Resulting Numbers: [33, 2] Generated Node #0,3,0: 31:[33, 2] Operation: 31-29=2 Moving to Node #0,3,0 Current State: 31:[33, 2], Operations: ['35-2=33', '31-29=2'] Exploring Operation: 33-2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.969618	hs_4	sum_heuristic
[ 14, 11, 27, 56 ]	87	[ "14-11=3", "56-27=29", "3*29=87" ]	Current State: 87:[14, 11, 27, 56], Operations: [] Exploring Operation: 14-11=3, Resulting Numbers: [27, 56, 3] Generated Node #2: [27, 56, 3] from Operation: 14-11=3 Current State: 87:[27, 56, 3], Operations: ['14-11=3'] Exploring Operation: 56-27=29, Resulting Numbers: [3, 29] Generated Node #3: [3, 29] from Operation: 56-27=29 Current State: 87:[3, 29], Operations: ['14-11=3', '56-27=29'] Exploring Operation: 3*29=87, Resulting Numbers: [87] 87,87 equal: Goal Reached	4	Current State: 87:[14, 11, 27, 56], Operations: [] Exploring Operation: 56-27=29, Resulting Numbers: [14, 11, 29] Generated Node #0,0: 87:[14, 11, 29] Operation: 56-27=29 Exploring Operation: 56/14=4, Resulting Numbers: [11, 27, 4] Generated Node #0,1: 87:[11, 27, 4] Operation: 56/14=4 Exploring Operation: 56-14=42, Resulting Numbers: [11, 27, 42] Generated Node #0,2: 87:[11, 27, 42] Operation: 56-14=42 Moving to Node #0,1 Current State: 87:[11, 27, 4], Operations: ['56/14=4'] Exploring Operation: 11-4=7, Resulting Numbers: [27, 7] Generated Node #0,1,0: 87:[27, 7] Operation: 11-4=7 Exploring Operation: 27+4=31, Resulting Numbers: [11, 31] Generated Node #0,1,1: 87:[11, 31] Operation: 27+4=31 Exploring Operation: 11+27=38, Resulting Numbers: [4, 38] Generated Node #0,1,2: 87:[4, 38] Operation: 11+27=38 Moving to Node #0,0 Current State: 87:[14, 11, 29], Operations: ['56-27=29'] Exploring Operation: 14-11=3, Resulting Numbers: [29, 3] Generated Node #0,0,0: 87:[29, 3] Operation: 14-11=3 Exploring Operation: 14+11=25, Resulting Numbers: [29, 25] Generated Node #0,0,1: 87:[29, 25] Operation: 14+11=25 Exploring Operation: 29-14=15, Resulting Numbers: [11, 15] Generated Node #0,0,2: 87:[11, 15] Operation: 29-14=15 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 87:[29, 3], Operations: ['56-27=29', '14-11=3'] Exploring Operation: 29-3=26, Resulting Numbers: [26] 26,87 unequal: No Solution Exploring Operation: 29+3=32, Resulting Numbers: [32] 32,87 unequal: No Solution Exploring Operation: 293=87, Resulting Numbers: [87] 87,87 equal: Goal Reached Moving to Node #0 Current State: 87:[14, 11, 27, 56], Operations: [] Exploring Operation: 56-27=29, Resulting Numbers: [14, 11, 29] Generated Node #0,0: 87:[14, 11, 29] Operation: 56-27=29 Moving to Node #0,0 Current State: 87:[14, 11, 29], Operations: ['56-27=29'] Exploring Operation: 14-11=3, Resulting Numbers: [29, 3] Generated Node #0,0,0: 87:[29, 3] Operation: 14-11=3 Moving to Node #0,0,0 Current State: 87:[29, 3], Operations: ['56-27=29', '14-11=3'] Exploring Operation: 293=87, Resulting Numbers: [87] 87,87 equal: Goal Reached Exit Sub Search at level 1	0.986111	hs_3	mult_heuristic
[ 37, 43, 28, 8 ]	29	[ "37-28=9", "8*9=72", "72-43=29" ]	Current State: 29:[37, 43, 28, 8], Operations: [] Exploring Operation: 37-28=9, Resulting Numbers: [43, 8, 9] Generated Node #2: [43, 8, 9] from Operation: 37-28=9 Current State: 29:[43, 8, 9], Operations: ['37-28=9'] Exploring Operation: 89=72, Resulting Numbers: [43, 72] Generated Node #3: [43, 72] from Operation: 89=72 Current State: 29:[43, 72], Operations: ['37-28=9', '8*9=72'] Exploring Operation: 72-43=29, Resulting Numbers: [29] 29,29 equal: Goal Reached	4	Current State: 29:[37, 43, 28, 8], Operations: [] Exploring Operation: 37-8=29, Resulting Numbers: [43, 28, 29] Generated Node #0,0: 29:[43, 28, 29] Operation: 37-8=29 Exploring Operation: 28+8=36, Resulting Numbers: [37, 43, 36] Generated Node #0,1: 29:[37, 43, 36] Operation: 28+8=36 Exploring Operation: 43-8=35, Resulting Numbers: [37, 28, 35] Generated Node #0,2: 29:[37, 28, 35] Operation: 43-8=35 Start Sub Search at level 1: Moving to Node #0,0 Current State: 29:[43, 28, 29], Operations: ['37-8=29'] Exploring Operation: 43-28=15, Resulting Numbers: [29, 15] Generated Node #0,0,0: 29:[29, 15] Operation: 43-28=15 Exploring Operation: 43-29=14, Resulting Numbers: [28, 14] Generated Node #0,0,1: 29:[28, 14] Operation: 43-29=14 Exploring Operation: 43+28=71, Resulting Numbers: [29, 71] Generated Node #0,0,2: 29:[29, 71] Operation: 43+28=71 Moving to Node #0,0,0 Current State: 29:[29, 15], Operations: ['37-8=29', '43-28=15'] Exploring Operation: 29-15=14, Resulting Numbers: [14] 14,29 unequal: No Solution Exploring Operation: 2915=435, Resulting Numbers: [435] 435,29 unequal: No Solution Exploring Operation: 29+15=44, Resulting Numbers: [44] 44,29 unequal: No Solution Moving to Node #0,0,1 Current State: 29:[28, 14], Operations: ['37-8=29', '43-29=14'] Exploring Operation: 28/14=2, Resulting Numbers: [2] 2,29 unequal: No Solution Exploring Operation: 28+14=42, Resulting Numbers: [42] 42,29 unequal: No Solution Exploring Operation: 28-14=14, Resulting Numbers: [14] 14,29 unequal: No Solution Moving to Node #0,0,2 Current State: 29:[29, 71], Operations: ['37-8=29', '43+28=71'] Exploring Operation: 71-29=42, Resulting Numbers: [42] 42,29 unequal: No Solution Exploring Operation: 29+71=100, Resulting Numbers: [100] 100,29 unequal: No Solution Exploring Operation: 2971=2059, Resulting Numbers: [2059] 2059,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 29:[37, 28, 35], Operations: ['43-8=35'] Exploring Operation: 37-28=9, Resulting Numbers: [35, 9] Generated Node #0,2,0: 29:[35, 9] Operation: 37-28=9 Exploring Operation: 35-28=7, Resulting Numbers: [37, 7] Generated Node #0,2,1: 29:[37, 7] Operation: 35-28=7 Exploring Operation: 37-35=2, Resulting Numbers: [28, 2] Generated Node #0,2,2: 29:[28, 2] Operation: 37-35=2 Moving to Node #0,2,0 Current State: 29:[35, 9], Operations: ['43-8=35', '37-28=9'] Exploring Operation: 35+9=44, Resulting Numbers: [44] 44,29 unequal: No Solution Exploring Operation: 35-9=26, Resulting Numbers: [26] 26,29 unequal: No Solution Exploring Operation: 359=315, Resulting Numbers: [315] 315,29 unequal: No Solution Moving to Node #0,2,2 Current State: 29:[28, 2], Operations: ['43-8=35', '37-35=2'] Exploring Operation: 28/2=14, Resulting Numbers: [14] 14,29 unequal: No Solution Exploring Operation: 28-2=26, Resulting Numbers: [26] 26,29 unequal: No Solution Exploring Operation: 28+2=30, Resulting Numbers: [30] 30,29 unequal: No Solution Moving to Node #0,2,1 Current State: 29:[37, 7], Operations: ['43-8=35', '35-28=7'] Exploring Operation: 37+7=44, Resulting Numbers: [44] 44,29 unequal: No Solution Exploring Operation: 37-7=30, Resulting Numbers: [30] 30,29 unequal: No Solution Exploring Operation: 377=259, Resulting Numbers: [259] 259,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 29:[37, 43, 36], Operations: ['28+8=36'] Exploring Operation: 43-37=6, Resulting Numbers: [36, 6] Generated Node #0,1,0: 29:[36, 6] Operation: 43-37=6 Exploring Operation: 43-36=7, Resulting Numbers: [37, 7] Generated Node #0,1,1: 29:[37, 7] Operation: 43-36=7 Exploring Operation: 37-36=1, Resulting Numbers: [43, 1] Generated Node #0,1,2: 29:[43, 1] Operation: 37-36=1 Moving to Node #0,1,0 Current State: 29:[36, 6], Operations: ['28+8=36', '43-37=6'] Exploring Operation: 36+6=42, Resulting Numbers: [42] 42,29 unequal: No Solution Exploring Operation: 36/6=6, Resulting Numbers: [6] 6,29 unequal: No Solution Exploring Operation: 36-6=30, Resulting Numbers: [30] 30,29 unequal: No Solution Moving to Node #0,1,1 Current State: 29:[37, 7], Operations: ['28+8=36', '43-36=7'] Exploring Operation: 37-7=30, Resulting Numbers: [30] 30,29 unequal: No Solution Exploring Operation: 377=259, Resulting Numbers: [259] 259,29 unequal: No Solution Exploring Operation: 37+7=44, Resulting Numbers: [44] 44,29 unequal: No Solution Moving to Node #0,1,2 Current State: 29:[43, 1], Operations: ['28+8=36', '37-36=1'] Exploring Operation: 43/1=43, Resulting Numbers: [43] 43,29 unequal: No Solution Exploring Operation: 43-1=42, Resulting Numbers: [42] 42,29 unequal: No Solution Exploring Operation: 431=43, Resulting Numbers: [43] 43,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_3	sum_heuristic
[ 35, 10, 8, 40 ]	85	[ "40-35=5", "10*8=80", "5+80=85" ]	Current State: 85:[35, 10, 8, 40], Operations: [] Exploring Operation: 40-35=5, Resulting Numbers: [10, 8, 5] Generated Node #2: [10, 8, 5] from Operation: 40-35=5 Current State: 85:[10, 8, 5], Operations: ['40-35=5'] Exploring Operation: 108=80, Resulting Numbers: [5, 80] Generated Node #3: [5, 80] from Operation: 108=80 Current State: 85:[5, 80], Operations: ['40-35=5', '10*8=80'] Exploring Operation: 5+80=85, Resulting Numbers: [85] 85,85 equal: Goal Reached	4	Current State: 85:[35, 10, 8, 40], Operations: [] Exploring Operation: 35+40=75, Resulting Numbers: [10, 8, 75] Generated Node #0,0: 85:[10, 8, 75] Operation: 35+40=75 Exploring Operation: 40-35=5, Resulting Numbers: [10, 8, 5] Generated Node #0,1: 85:[10, 8, 5] Operation: 40-35=5 Exploring Operation: 40/10=4, Resulting Numbers: [35, 8, 4] Generated Node #0,2: 85:[35, 8, 4] Operation: 40/10=4 Moving to Node #0,1 Current State: 85:[10, 8, 5], Operations: ['40-35=5'] Exploring Operation: 10-8=2, Resulting Numbers: [5, 2] Generated Node #0,1,0: 85:[5, 2] Operation: 10-8=2 Exploring Operation: 10-5=5, Resulting Numbers: [8, 5] Generated Node #0,1,1: 85:[8, 5] Operation: 10-5=5 Exploring Operation: 10+8=18, Resulting Numbers: [5, 18] Generated Node #0,1,2: 85:[5, 18] Operation: 10+8=18 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 85:[5, 18], Operations: ['40-35=5', '10+8=18'] Exploring Operation: 518=90, Resulting Numbers: [90] 90,85 unequal: No Solution Exploring Operation: 18-5=13, Resulting Numbers: [13] 13,85 unequal: No Solution Exploring Operation: 5+18=23, Resulting Numbers: [23] 23,85 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 85:[5, 2], Operations: ['40-35=5', '10-8=2'] Exploring Operation: 52=10, Resulting Numbers: [10] 10,85 unequal: No Solution Exploring Operation: 5-2=3, Resulting Numbers: [3] 3,85 unequal: No Solution Exploring Operation: 5+2=7, Resulting Numbers: [7] 7,85 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 85:[8, 5], Operations: ['40-35=5', '10-5=5'] Exploring Operation: 85=40, Resulting Numbers: [40] 40,85 unequal: No Solution Exploring Operation: 8+5=13, Resulting Numbers: [13] 13,85 unequal: No Solution Exploring Operation: 8-5=3, Resulting Numbers: [3] 3,85 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 85:[10, 8, 75], Operations: ['35+40=75'] Exploring Operation: 8+75=83, Resulting Numbers: [10, 83] Generated Node #0,0,0: 85:[10, 83] Operation: 8+75=83 Exploring Operation: 10+8=18, Resulting Numbers: [75, 18] Generated Node #0,0,1: 85:[75, 18] Operation: 10+8=18 Exploring Operation: 10+75=85, Resulting Numbers: [8, 85] Generated Node #0,0,2: 85:[8, 85] Operation: 10+75=85 Moving to Node #0,2 Current State: 85:[35, 8, 4], Operations: ['40/10=4'] Exploring Operation: 35-4=31, Resulting Numbers: [8, 31] Generated Node #0,2,0: 85:[8, 31] Operation: 35-4=31 Exploring Operation: 35-8=27, Resulting Numbers: [4, 27] Generated Node #0,2,1: 85:[4, 27] Operation: 35-8=27 Exploring Operation: 8-4=4, Resulting Numbers: [35, 4] Generated Node #0,2,2: 85:[35, 4] Operation: 8-4=4 Moving to Node #0,0,2 Current State: 85:[8, 85], Operations: ['35+40=75', '10+75=85'] Exploring Operation: 8+85=93, Resulting Numbers: [93] 93,85 unequal: No Solution Exploring Operation: 85-8=77, Resulting Numbers: [77] 77,85 unequal: No Solution Exploring Operation: 885=680, Resulting Numbers: [680] 680,85 unequal: No Solution Moving to Node #0,0,0 Current State: 85:[10, 83], Operations: ['35+40=75', '8+75=83'] Exploring Operation: 83-10=73, Resulting Numbers: [73] 73,85 unequal: No Solution Exploring Operation: 10+83=93, Resulting Numbers: [93] 93,85 unequal: No Solution Exploring Operation: 1083=830, Resulting Numbers: [830] 830,85 unequal: No Solution Moving to Node #0,0,1 Current State: 85:[75, 18], Operations: ['35+40=75', '10+8=18'] Exploring Operation: 7518=1350, Resulting Numbers: [1350] 1350,85 unequal: No Solution Exploring Operation: 75-18=57, Resulting Numbers: [57] 57,85 unequal: No Solution Exploring Operation: 75+18=93, Resulting Numbers: [93] 93,85 unequal: No Solution Moving to Node #0,2,1 Current State: 85:[4, 27], Operations: ['40/10=4', '35-8=27'] Exploring Operation: 27-4=23, Resulting Numbers: [23] 23,85 unequal: No Solution Exploring Operation: 427=108, Resulting Numbers: [108] 108,85 unequal: No Solution Exploring Operation: 4+27=31, Resulting Numbers: [31] 31,85 unequal: No Solution Moving to Node #0,2,0 Current State: 85:[8, 31], Operations: ['40/10=4', '35-4=31'] Exploring Operation: 8+31=39, Resulting Numbers: [39] 39,85 unequal: No Solution Exploring Operation: 831=248, Resulting Numbers: [248] 248,85 unequal: No Solution Exploring Operation: 31-8=23, Resulting Numbers: [23] 23,85 unequal: No Solution Moving to Node #0,2,2 Current State: 85:[35, 4], Operations: ['40/10=4', '8-4=4'] Exploring Operation: 35-4=31, Resulting Numbers: [31] 31,85 unequal: No Solution Exploring Operation: 35+4=39, Resulting Numbers: [39] 39,85 unequal: No Solution Exploring Operation: 35*4=140, Resulting Numbers: [140] 140,85 unequal: No Solution No solution found.	0	hs_3	sum_heuristic
[ 53, 18, 34, 18 ]	86	[ "53+34=87", "18/18=1", "87-1=86" ]	Current State: 86:[53, 18, 34, 18], Operations: [] Exploring Operation: 53+34=87, Resulting Numbers: [18, 18, 87] Generated Node #2: [18, 18, 87] from Operation: 53+34=87 Current State: 86:[18, 18, 87], Operations: ['53+34=87'] Exploring Operation: 18/18=1, Resulting Numbers: [87, 1] Generated Node #3: [87, 1] from Operation: 18/18=1 Current State: 86:[87, 1], Operations: ['53+34=87', '18/18=1'] Exploring Operation: 87-1=86, Resulting Numbers: [86] 86,86 equal: Goal Reached	4	Current State: 86:[53, 18, 34, 18], Operations: [] Exploring Operation: 18/18=1, Resulting Numbers: [53, 34, 1] Generated Node #0,0: 86:[53, 34, 1] Operation: 18/18=1 Start Sub Search at level 1: Moving to Node #0,0 Current State: 86:[53, 34, 1], Operations: ['18/18=1'] Exploring Operation: 53+34=87, Resulting Numbers: [1, 87] Generated Node #0,0,0: 86:[1, 87] Operation: 53+34=87 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 86:[1, 87], Operations: ['18/18=1', '53+34=87'] Exploring Operation: 87-1=86, Resulting Numbers: [86] 86,86 equal: Goal Reached Moving to Node #0 Current State: 86:[53, 18, 34, 18], Operations: [] Exploring Operation: 18/18=1, Resulting Numbers: [53, 34, 1] Generated Node #0,0: 86:[53, 34, 1] Operation: 18/18=1 Moving to Node #0,0 Current State: 86:[53, 34, 1], Operations: ['18/18=1'] Exploring Operation: 53+34=87, Resulting Numbers: [1, 87] Generated Node #0,0,0: 86:[1, 87] Operation: 53+34=87 Moving to Node #0,0,0 Current State: 86:[1, 87], Operations: ['18/18=1', '53+34=87'] Exploring Operation: 87-1=86, Resulting Numbers: [86] 86,86 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.993924	hs_1	mult_heuristic

Subsets and Splits

No community queries yet

The top public SQL queries from the community will appear here once available.